Control Theory

MS Thesis
  • Erol Azmidolu (ongoing) On Concepts of Controllability.
  • Bubacarr Kandeh (ongoing) Stochastic Calculus
  • Poyan Bedayat (2016) Stochastic analysis with applications.
  • S.F.Ertürk (2002) Stochastic Calculus with Application to Finance.
  • K.Kutoğlu (2000) Controllability of Deterministic and Stochastic Systems.
  • N.Tuncalp (1999) On Stochastic Differential Equations.
PhD Thesis
  • K.Abuassba (2018) Kalman Filtering under Wide Band Noises.
  • N.H.Ghahramanlou (2015) Partial Approximate Controllability of Stochastic Semilinear Control Systems.
  • M.Jneid (2014) Partial Complete Controllability of Stochastic Semilinear Control Systems.
  • S.F.Ertürk (2010) Kalman Filtering and Its Generalizations.
  • S.Uğural (2002) On Reduction of Wide Band Noise Driven Systems.
  • Y.Tandoğdu (1998) Estimation of Water Balance Related Parameters with Application to the Girne Range Aquifer.
  • N.Şemi (1997) Prediction Problem for Linear Systems Driven by Shifted Noises.
  • H.Etikan (1997) Smoothing Problem for Linear Systems Driven by Shifted Noises.
  • L.Mishne (1990) Filtering Problems under Dependent Noises with Application to Designing Optimal Controls.
Publications
  • A.E.Bashirov, On exact controllability of semilinear systems, Mathematical Methods in the Applied Sciences, 2020 (doi: 10.1002/mma.6265) A.E.Bashirov, On exact controllability of semilinear systems, Mathematical Methods in the Applied Sciences, 2020 (doi: 10.1002/mma.6265).
  • A.E.Bashirov, K.Abuassba, Invariant Kalman filter for correlated wide band noises, Asian Journal of Control, 22 (2020), no. 1, pp. 1-9 (doi: 10.1002/asjc.1949).
  • A.E.Bashirov, K.Abuassba, Invariant filtering results for wide band noise driven signal systems, TWMS Journal of Applied and Engineering Mathematics, 8 (2018), no. 1, pp. 71-82.
  • A.E.Bashirov, Linear filtering for wide band noise driven observation systems, Circuits, Systems and Signal Processing, 36 (2017), Issue 3, pp. 1247-1263 (doi: 10.1007/s00034-016-0355-y).
  • A.E.Bashirov, Stochastic maximum principle in the Pontryagin's form for wide band noise driven systems, International Journal of Control, 88 (2015), no. 3, pp. 461-468.
  • A.E.Bashirov, N.Gahramanlou, On partial S-controllability of semilinear partially observable systems, International Journal of Control, 88 (2015), no. 5, pp. 969-982.
  • A.E.Bashirov, N.Gahramanlou, On partial approximate controllability of semilinear systems, Cogent Engineering, 1 (2014), doi: 10.1080/23311916.2014.965947.
  • A.E.Bashirov, M.Jneid, Partial complete controllability of deterministic semilinear systems, TWMS Journal of Applied and Engineering Mathematics, 4 (2014), no. 2, pp. 216-225. 
  • A.Özyapıcı, M.Riza, B.Bilgehan, A.E.Bashirov, On multiplicative and Volterra minimization methods, Numerical Algorithms, 67 (2014), no. 3, pp. 623-636.
  • A.E.Bashirov, M.Jneid, On partial complete controllability of semilinear systems, Abstract and Applied Analysis, (2013), doi: org/10.1155/2013/521052, 8 pages.
  • A.E.Bashirov, Z.Mazhar, S.Ertürk, Kalman type filter for systems with delay in observation noise, Applied and Computational Mathematics, 12 (2013), Issue 4, pp. 325-338.
  • A.E.Bashirov, Z.Mazhar, H.Etikan, S.Ertürk, Delay stricture of wide band noises with application to filtering problems, Optimal Control, Applications and Methods, 34 (2013), pp. 69-79. 
  • A.E.Bashırov, G.Bashirova, Dynamics of literary texts and diffusion, Journal of Communication and Media Technologies, 1 (2011), no. 3, pp. 60-82.
  • A.E.Bashirov, H.Etikan, N.Semi, Partial controllability of stochastic linear systems, International Journal of Control, 83 (2010), no. 12, pp. 2564-2572.
  • A.E.Bashirov, Z.Mazhar, S.Ertürk,  Boundary value problems arising in Kalman filtering, Boundary Value Problems, doi:10.1155/2008/279410, 2008.
  • A.E.Bashirov, N.Mahmudov, N.Şemi, H.Etikan, Partial controllability concepts, International Journal of Control, 80 (2007), no.1, pp.1-7.
  • A.E.Bashirov, Filtering for linear systems with shifted noises, International Journal of Control, 78 (2005), no.7, pp.521-529.
  • A.E.Bashirov, S.Ugural, Representation of systems disturbed by wide band noise, Applied Mathematics Letters, 15 (2002), pp.607-613.
  • A.E.Bashirov, S.Ugural, Analyzing wide band noise processes with application to control and filtering, IEEE Transactions on Automatic Control, 47 (2002), pp.323-327.
  • A.E.Bashirov, N.I.Mahmudov, On controllability of deterministic and stochastic systems, SIAM Journal of Control and Optimization, 37 (1999), no.6, pp.1808-1821.
  • A,E,Bashirov, H.Etikan, N.Şemi, On duality between the control and estimation problems, İstatistık, Journal of Turkish Statistical Association, 1 (1998), no.1, pp.13-19.
  • A.E.Bashirov, H.Etikan, N.Şemi, Filtering, smoothing and prediction for wide band noise driven systems, Journal of the Franklin Institute, Engineering and Applied Mathematics334B (1997), no.4, pp.667-683.
  • A.E.Bashirov, K.R.Kerimov, On controllability conception for stochastic systems, SIAM Journal on Control and Optimization, 35 (1997), no.2, pp.384-398.
  • A.E.Bashirov, Control and filtering for wide band noise driven linear systems, AIAA Journal of Guidance, Control and Dynamics, 16 (1993), no.5, pp.983-985.
  • N.I.Mahmudov, A.E.Bashirov, Optimal control of linear stochastic evolution systems, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 14 (1993), no.1+2, pp.2-10 (in Russian).
  • A.E.Bashirov, L.V.Eppelbaum, L.R.Mishne, Improving Eotvos corrections by wide band noise Kalman filtering, Geophysical Journal International, 107 (1992), pp.193-197.
  • A.E.Bashirov,  L.R.Mishne, On linear filtering under dependent white noises, Stochastics and Stochastics Reports, 35 (1991), pp.1-23.
  • A.E.Bashirov, On linear filtering under dependent wide band noises, Stochastics, 23 (1988), no.4, pp.413-437.
  • A.E.Bashirov, Optimal control of partially observed systems with arbitrary dependent noises: linear quadratic case, Stochastics, 17 (1986), no.3, pp.163-205.
  • A.E.Bashirov, A problem of filtering with correlated noises, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 5 (1984), no.3, pp.97-102 (in Russian).
  • J.E.Allahverdiyev, A.E.Bashirov, On duality between the control and interpolation problems, Dokladi Akad. Nauk Azerb. SSR, 11 (1984), no.6, pp.3-6 (in Russian).
  • A.E.Bashirov, R.R.Hajiyev, On a controllability conception for the partially observed stochastic systems, Part 2, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 5 (1984), no.2, pp.99-103 (in Russian).
  • A.E.Bashirov, R.R.Hajiyev, On controllability conception for the partially observed stochastic systems, Part 1, Izvestiya Akad. Nauk Azerb. SSR, Ser.Fiz.-Tekhn.-Mat. Nauk, 4 (1983), no.5, pp.109-114 (in Russian).
  • J.E.Allahverdiyev, A.E.Bashirov, Linear quadratic stochastic optimal control under dependent random disturbances, Part 2, Izvestiya Akad. Nauk Azerb. SSR, Ser.Fiz.-Tekhn.-Mat. Nauk, 5 (1984), no.1, pp.86-91 (in Russian).
  • J.E.Allahverdiyev, A.E.Bashirov, Linear quadratic stochastic optimal control under dependent random disturbances, Part 1, Izvestiya Akad. Nauk Azerb. SSR, Ser.Fiz.-Tekhn.-Mat. Nauk, 4 (1983), no.6, pp.74-83 (in Russian).
  • A.E.Bashirov, N.I.Mahmudov, On stochastic integral in Banach space with a smooth norm, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 2 (1981), no.5, pp.47-54 (in Russian).
  • A.E.Bashirov, The separation theorem for stochastic optimal control problem, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 1 (1980), no.3, pp.137-141 (in Russian).
  • A.E.Bashirov, B.G.Karasik, Optimization problem for second order systems, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat\ Nauk, 1 (1980), no.2, pp.143-146 (in Russian).
  • A.E.Bashirov, On stochastic maximum principle for evolution systems, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 1 (1980), no.2, pp.127-130 (in Russian).
  • A.E.Bashirov, On stochastic differential equation in Hilbert space}, Izvestiya Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn.-Mat. Nauk, 1 (1980), no.1, pp.131-139 (in Russian).
Projects
Conference Presentations
  • A.E.Bashirov, K.Abuassba, Kalman filtering for wide band noise driven systems, Proceedings of the 5th International Conference on Control and Optimization with Industrial Applications, 27-29 August, 2015, Baku, Azerbaijan, 3 pages.
  • A.E.Bashirov, S. Ugural, S. Erturk, Wide band noise as a distributed delay of a white noise, World Congress on Engineering, London, UK, 2-4 July, 2008, Lecture Notes in Engineering and Computer Science, Vol. 2, 2014, pp. 952-954.
  • A.E.Bashirov, S.Uğural, On systems disturbed by wide band noise, Proceedings of the 5th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2001), Saint-Petersburg, Russia, July 4-6, 2001, 4 p.
  • A.E.Bashirov, Control and filtering of linear systems driven by wide band noise, Proceedings of the 1st IFAC Symposium on Systems Structure and Control, Prague, Czech Republic, August 29-31, 2001, 6 p.
  • A.E.Bashirov, On linear systems disturbed by wide band noise, Proceedings of the 14th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2000), Perpignan, France, June 19-23, 2000, 7 p.
  • A.E.Bashirov, N.I.Mahmudov, On concepts of controllability for deterministic and stochastic systems, Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, Arizona, USA, December 7-10, 1999, Vol. 4, pp.3196-3202.
  • A.E.Bashirov, N.I.Mahmudov, Some new results in theory of controllability, Proceedings of the 7th Mediterranean Conference on Control and Automation (MED99), Haifa, Israel, June 28-30, 1999, pp.323-343.
  • A.E.Bashirov, On Reduction of Wide-Band Noise Driven Linear Systems, Abstracts of the 4th  SIAM Conference on Control and Its Applications, May 7-9, 1998, Jacksonville, Florida, USA, p.60.
  • A.E.Bashirov, On weakening of the controllability concepts, Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, December 11-13, 1996, Vol.1, pp.640-645.
  • A.E.Bashirov, L.R.Mishne, On possibility of using wide band noises in the mathematical model of ship's movement under accounting of Eotvos correction, in Problems of Ocean Bottom Geophysics, Proceedings of the 1st  All Union Conference on Sea Geophysics, Moscow, 1987, Vol.2, pp.70-71 (in Russian).
  • A.E.Bashirov, L.R.Mishne, L.V.Eppelbaum, Adequacy of Kalman-Bucy filtering model in processing of aero gravimetric parameters, Proceedings of the 4th  Scientific Theoretical Conference on Oil and Gas Extracting Methodology, Baku, June 16-19, 1987, Elm, p. 20 (in Russian).
  • A.E.Bashirov, L.R.Mishne, N.I.Mahmudov, R.R.Hajiyev, Linear filtering of dependent noises, Proceedings of the 1st All World Congress of Bernoulli Society, Moscow, Nauka, 1986, Vol.1, p.375.
  • A.E.Bashirov, R.R.Hajiyev, On sufficient condition of stochastic controllability, 4th  International Vilnius Conference on Probability Theory and Mathematical Statistics, Abstracts of Communications, Vilnius, 1985, Vol. 4, pp.21-22.
  • A.E.Bashirov, On linear quadratic optimal control problem in Hilbert space with correlated random disturbances, Proceedings of the 1st  Republican Conference of Young Scientists and Specialists on Applied Mathematics and Cybernetics, Baku, Elm, 1982, p.16 (in Russian).
  • A.E.Bashirov, On stochastic integral in Hilbert space, Proceedings of the 2nd Postgraduate Scientific Conference, Azerbaijan Academy of Sciences, Book 1, Baku, Elm, 1980, pp.52-57 (in Russian).
  • A.E.Bashirov, Linear problem of optimal control in Banach space, Proceedings of the 1st  Postgraduate Scientific Conference, Azerbaijan Academy of Sciences, Book 1, Baku, Elm, 1978, pp.61-67 (in Russian).


MS Thesis
  • Reger Ibrahim, Thesis title: Riemann-Louiville type FDE, M.Sc. completed: 2016
  • Ojo Gbenga Olayinka, Thesis title: Adomian's Decomposition of Multi-Order Fractional, Differential Equations, M.Sc. completed: 2016
  • Hogir Ageed Khaleel, Thesis title: On Fractional Differential Equations, M.Sc. completed: 2015
  • Abdullah Hasan Jangeer , Thesis title: Fractional Integral Inequalities of Gronwall Type, M.Sc. completed: 2015
  • Sevda Isiktas, Thesis title: Controllability of linear deterministic systems, M.Sc. completed: 1997
  • Verda Peyker, Thesis title: Linear retarded differential equations, M.Sc. completed: 2000
  • Ceren Mirillo, Thesis title: Linear retarded differential equations, M.Sc. completed: 2004
  • Umut Yolsal, Thesis title: The Gauge Integral, MSc completed: 2004
  • Mustafa Kara, Thesis title: The Calculus of Time Scales, M.Sc. completed: 2005
  • Benan Gencsu, Thesis title: Inequalities on Time Scales, M.Sc. completed: 2005
  • Havva Kafaoglu, Thesis title: Differential Equations on Time Scales, M.Sc. completed: 2006
PhD Thesis
  • SEDEF SULTAN EMIN, Thesis Title: Existence Results for Boundary Value Problems of Fractional Type, Differential Equations, Ph.D. completed in June 2019, EMU
  • AREEN SABER SALAH AL-KHATEEB, Thesis Title: Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations, Ph.D. completed in June 2019, EMU
  • SAMEER HASSAN SALEEH BAWA`NEH, Thesis Title: Computational Numerical Solution Algorithm for Fractional Differential Equations, Ph.D. completed in June 2019, EMU
  • Muath Awadalla, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
  • Bilal Sami, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
  • Helal Mahmoud, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in June 2016, EMU
  • Mohammad Momenzadeh, Thesis Title: A Comprehensive Study On q-Polynomials, Ph.D. completed in February 2016, EMU
  • Sinem Unul, Thesis Title: On a Class Fractional Differential Equations, Ph.D. completed in February 2016, EMU
  • Marzieh Eini Keleshteri, Thesis Title: Comprehensive Study On The Class Of q-Appell Polynomials, Ph.D. completed in July 2015, EMU
  • Afet Oneren, Thesis Title: Q-polynomials, Ph.D. completed in October 2014, EMU
  • Mustafa Kara, Thesis Title: Generalized Kantorovich type Operators, Ph.D. completed in January 2011, EMU
  • Havva Kaffaoglu, Thesis Title: Phillips type Operators Based on q-integers, Ph.D. completed in May 2011, EMU
  • Pembe Sabancigil,  Thesis Title: Bernstein type Operators Based on q-integers, Ph.D. completed in May 2009, EMU
  • Muhammed Mattar, Thesis Title: Controllability of Backward Equations, Ph.D. completed in June 2005, EMU
  • Sonuc Zorlu, Thesis Title: Controllability of Stochastic Systems, Ph.D. completed in May 2003, EMU
  • Ali Denker, Thesis Title: Controllability concepts for stochastic control systems, Ph.D. completed in May 2002, EMU
Publications

Journal Papers_indexed in SCI 

  • NI Mahmudov, Necessary First-Order and Second-Order Optimality Conditions in DiscreteTime Stochastic Systems, Journal of Optimization Theory and Applications 2019-09-14 | journalarticle DOI: 10.1007/s10957-019-01478-y
  • NI Mahmudov, A novel fractional delayed matrix cosine and sine Applied Mathematics Letters 2019-06 | journal-article DOI: 10.1016/j.aml.2019.01.001
  • NI Mahmudov, Representation of solutions of discrete linear delay systems with non permutable matrices Applied Mathematics Letters 2018, 85, 8-14
  • Mahmudov, N. I. Asymptotic properties of powers of linear positive operators which preserve e2. Comput. Math. Appl. 62 (2011), no. 12, 4568–4575.
  • Sakthivel, R.; Ren, Yong; Mahmudov, N. I. On the approximate controllability of semilinear fractional differential systems. Comput. Math. Appl. 62 (2011), no. 3, 1451–1459.
  • Mahmudov, N. I. q-Szász-Mirakjan operators which preserve x2. J. Comput. Appl. Math. 235 (2011), no. 16, 4621–4628.
  • Mahmudov, N. I. Approximation by Bernstein-Durrmeyer-type operators in compact disks. Appl. Math. Lett. 24 (2011), no. 7, 1231–1238.
  • Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
  • Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
  • Mahmudov, N. I., Approximation theorems for certain positive linear operators. Appl. Math. Lett. 23 (2010), no. 7, 812–817.
  • Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
  • Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. On controllability of second order nonlinear impulsive differential systems. Nonlinear Anal. 71 (2009), no. 1-2, 45--52.
  • Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
  • Mahmudov, N. I.; McKibben, M. A. On backward stochastic evolution equations in Hilbert spaces and optimal control. Nonlinear Anal. 67 (2007), no. 4, 1260--1274.
  • Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
  • Dauer, J. P.; Mahmudov, N. I.; Matar, M. M. Approximate controllability of backward stochastic evolution equations in Hilbert spaces. J. Math. Anal. Appl. 323 (2006), no. 1, 42--56.
  • Mahmudov, N. I.; Zorlu, S. Controllability of semilinear stochastic systems. Internat. J. Control 78 (2005), no. 13, 997--1004.
  • Dauer, J. P.; Mahmudov, N. I. Integral inequalities and mild solutions of semilinear neutral evolution equations. J. Math. Anal. Appl. 300 (2004), no. 1, 189--202.
  • Dauer, J. P.; Mahmudov, N. I. Controllability of some nonlinear systems in Hilbert spaces. J. Optim. Theory Appl. 123 (2004), no. 2, 319--329.
  • Dauer, J. P.; Mahmudov, N. I. Exact null controllability of semilinear integrodifferential systems in Hilbert spaces. J. Math. Anal. Appl. 299 (2004), no. 2, 322--332.
  • Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
  • Mahmudov, Nazim I. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. SIAM J. Control Optim. 42 (2003), no. 5, 1604--1622.
  • Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
  • Mahmudov, N. I.; Zorlu, S. Controllability of non-linear stochastic systems. Internat. J. Control 76 (2003), no. 2, 95--104.
  • Dauer, J. P.; Mahmudov, N. I. Approximate controllability of semilinear functional equations in Hilbert spaces. J. Math. Anal. Appl. 273 (2002), no. 2, 310--327.
  • Mahmudov, Nazim I. Controllability of linear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 259 (2001), no. 1, 64--82.
  • Mahmudov, Nazim Idrisoglu Controllability of linear stochastic systems. IEEE Trans. Automat. Control 46 (2001), no. 5, 724--731.
  • Mahmudov, N. I.; Denker, A. On controllability of linear stochastic systems. Internat. J. Control 73 (2000), no. 2, 144--151.
  • Bashirov, Agamirza E.; Mahmudov, Nazim I. On concepts of controllability for deterministic and stochastic systems. SIAM J. Control Optim. 37 (1999), no. 6, 1808--1821 (electronic).

Journal Papers in SCIE 

  • NI Mahmudov, Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations, Mathematical Methods in the Applied Sciences 2019-11-15 | journal-article DOI: 10.1002/mma.5446
  • NI Mahmudov, S Emin, Fractional-order boundary value problems with Katugampola fractional integral conditions, Advances in Difference Equations 2018 (1), 81
  • NI Mahmudov, Partial-approximate controllability of nonlocal fractional evolution equations via approximating method Applied Mathematics and Computation 334, 227-238
  • NI Mahmudov, Finite-approximate controllability of fractional evolution equations: variational approach Fractional Calculus and Applied Analysis 21 (4), 919-93
  • SG Gal, NI Mahmudov, BD Opris, Approximation with an Arbitrary Order by Szasz, SzaszKantorovich and Baskakov Complex Operators in Compact Disks Azerbaijan Journal of Mathematics-Print ISSN: 2218-6816, Online ISSN: 2221
  • NI Mahmudov, M Awadalla, K Abuassba, Nonlinear sequential fractional differential equations with nonlocal boundary conditions Advances in Difference Equations 2017 (1), 319
  • NI Mahmudov, H Mahmoud, Four-point impulsive multi-orders fractional boundary value problems J. Comput. Anal. Appl 22 (7), 1249-1260
  • NI Mahmudov, R Murugesu, C Ravichandran, V Vijayakumar, Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces Results in Mathematics 71 (1-2), 45-61
  • N Mahmudov, MM Matar, EXISTENCE OF MILD SOLUTION FOR HYBRID DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS 8 (2), 160-169
  • NI Mahmudov, Finite-approximate controllability of evolution equations, Appl. Comput. Math 16 (2), 159-167
  • R Sakthivel, Y Ren, A Debbouche, NI Mahmudov Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions Applicable Analysis 95 (11), 2361-2382
  • NI Mahmudov, V Vijayakumar, R Murugesu, Approximate controllability of second-order evolution differential inclusions in Hilbert spaces Mediterranean Journal of Mathematics 13 (5), 3433-3454
  • N Mahmudov, Approximation Properties of the q-Balázs–Szabados Complex Operators in the Case q≥1, Computational Methods and Function Theory 16 (4), 567–583
  • NI Mahmudov, MA Mckibben, ON APPROXIMATELY CONTROLLABLE SYSTEMS Appl. Comput. Math 15 (3), 247-264
  • MJ Mardanov, NI Mahmudov, YA Sharifov, Existence and uniqueness results for q-fractional difference equations with p-Laplacian operators Advances in Difference Equations 2015 (1), 185
  • NI Mahmudov, M Kara, Approximation properties of weighted Kantorovich type operators in compact disks Journal of Inequalities and Applications 2015 (1), 46
  • Mardanov, Misir J; Malik, Samin T; Mahmudov, Nazim I; On the theory of necessary optimality conditions in discrete systems. Adv. Difference Equ. 2015, 2015:28.
  • Mahmudov, Nazim I; Kara, Mustafa; Approximation properties of weighted Kantorovich type operators in compact disks. J. Inequal. Appl. 2015, 2015:46.
  • Mahmudov, Nazim I. Difference equations of q-Appell polynomials. Appl. Math. Comput. 245 (2014), 539–543
  • Ganesh, Ramakrishnan; Sakthivel, Rathinasamy; Mahmudov, Nazim I. Approximate controllability of fractional functional equations with infinite delay. Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 345–364.
  • Mahmudov, N. I.; Unul, S. Existence of solutions of α∈(2,3]order fractional three-point boundary value problems with integral conditions. Abstr. Appl. Anal. 2014, Art. ID 198632, 12 pp.
  • Mahmudov, Nazim I.; Keleshteri, Marzieh Eini q-extensions for the Apostol type polynomials. J. Appl. Math. 2014, Art. ID 868167, 8 pp.
  • Mahmudov, N. I.; Momenzadeh, M. On a class of q-Bernoulli, q-Euler, and q-Genocchi polynomials. Abstr. Appl. Anal. 2014, Art. ID 696454, 10 pp.
  • Mahmudov, N. I.; Gupta, Vijay Approximation by complex q-Durrmeyer polynomials in compact disks. Acta Math. Appl. Sin. Engl. Ser. 30 (2014),no. 1, 65–74.
  • Mahmudov, N. I.; Akkeleş, A.; Öneren, A. On a class of two dimensional (w,q)-Bernoulli and (w,q)-Euler polynomials: properties and location of zeros. J. Comput. Anal. Appl. 16 (2014), no. 2, 282–292.
  • Gal, Sorin G.; Mahmudov, Nazim I.; Kara, MustafaApproximation by complex q-SzászKantorovich operators in compact disks, q>1.Complex Anal. Oper. Theory 7 (2013), no. 6, 1853–1867.
  • Mahmudov, Nazim Idrisoglu q-Szász operators which preserve x2. Math. Slovaca 63 (2013), no.5, 1059–1072.
  • Ganesh, R.; Sakthivel, R.; Ren, Yong; Anthoni, S. M.;Mahmudov, N. I. Controllability of neutral fractional functional equations with impulses and infinite delay. Abstr. Appl. Anal. 2013, Art. ID 901625, 12 pp.
  • Mahmudov, N. I. Asymptotic properties of iterates of certain positive linear operators. Math. Comput. Modelling 57 (2013), no. 5-6, 1480–1488.
  • Mahmudov, N. I.; Zorlu, S. Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions. Bound. Value Probl. 2013, 2013:118, 16 pp.
  • Mahmudov, Nazim I.; Keleshteri, M. Eini On a class of generalized q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:115, 10 pp.
  • Mahmudov, N. I.; Kara, M. Approximation theorems for complex Szász-Kantorovich operators. J. Comput. Anal. Appl. 15 (2013), no. 1, 32–38.
  • Ganesh, R.; Sakthivel, R.; Mahmudov, N. I.; Anthoni, S. M.Approximate controllability of fractional integrodifferential evolution equations. J. Appl. Math. 2013, Art. ID 291816, 7 pp.
  • Mahmudov, Nazim I. On a class of q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:108, 11 pp.
  • Mahmudov, N. I. Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces. Abstr. Appl. Anal. 2013, Art. ID 502839, 9 pp.
  • Sakthivel, R.; Revathi, P.; Mahmudov, N. I. Asymptotic stability of fractional stochastic neutral differential equations with infinite delays.Abstr. Appl. Anal. 2013, Art. ID 769257, 9 pp.
  • Mahmudov, N. I.; Şemi, N. Approximate controllability of semilinear control systems in Hilbert spaces. TWMS J. Appl. Eng. Math. 2 (2012), no. 1, 67–74.
  • Mahmudov, N. I. Approximation by the q-Szász-Mirakjan operators. Abstr. Appl. Anal. 2012, Art. ID 754217, 16 pp.
  • Mahmudov, Nazim I. Approximation properties of bivariate complex q-Bernstein polynomials in the case q>1. Czechoslovak Math. J. 62(137)(2012), no. 2, 557–566.
  • Mahmudov, N. I. q-analogues of the Bernoulli and Genocchi polynomials and the SrivastavaPintér addition theorems. Discrete Dyn. Nat. Soc.2012, Art. ID 169348, 8 pp.
  • Mahmudov, Nazim; Gupta, Vijay; Kaffaoğlu, Havva On certainq-Phillips operators. Rocky Mountain J. Math. 42 (2012), no. 4, 1291–1312.
  • Mahmudov, N. I.; Kara, M. Approximation theorems for generalized complex Kantorovich-type operators. J. Appl. Math. 2012, Art. ID 454579, 14 pp.
  • Mahmudov, Nazim Idrisoglu; Sabancigil, Pembe Voronovskaja type theorem for the Lupaş qanalogue of the Bernstein operators. Math. Commun.17 (2012), no. 1, 83–91.
  • Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J. Controllability for a class of fractional-order neutral evolution control systems. Appl. Math. Comput.218 (2012), no. 20, 10334–10340.
  • Mahmudov, N. I.; Gupta, Vijay Approximation by genuine Durrmeyer-Stancu polynomials in compact disks. Math. Comput. Modelling 55(2012), no. 3-4, 278–285.
  • Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I.Approximation by a complex q-Durrmeyer type operator. Ann. Univ. Ferrara Sez. VII Sci. Mat. 58 (2012), no. 1, 65–87.
  • Mahmudov, Nazim; Sabancigil, Pembe A q-analogue of the Meyer-König and Zeller operators. Bull. Malays. Math. Sci. Soc. (2) 35 (2012), no. 1,39–51.
  • Mahmudov, Nazim Idrisoglu; Özarslan, Mehmet Ali;Sabancigil, Pembe I-approximationproperties of certain class of linear positive operators. Studia Sci. Math. Hungar. 48 (2011), no. 2, 205–219.
  • Mahmudov, Nazim; Gupta, Vijay On certain q-analogue of Szász Kantorovich operators. J. Appl. Math. Comput. 37 (2011), no. 1-2, 407–419.
  • Mahmudov, N. I. Higher order limit q-Bernstein operators. Math. Methods Appl. Sci. 34 (2011), no. 13, 1618–1626.
  • Sakthivel, R.; Mahmudov, N. I.; Ren, Yong Approximate controllability of the nonlinear thirdorder dispersion equation. Appl. Math. Comput.217 (2011), no. 21, 8507–8511.
  • Mahmudov, N. I. Approximation by genuine q-Bernstein-Durrmeyer polynomials in compact disks. Hacet. J. Math. Stat. 40 (2011),no. 1, 77–89.
  • Özarslan, M. Ali; Duman, Oktay; Mahmudov, N. I. Local approximation properties of modified Baskakov operators. Results Math. 59 (2011),no. 1-2, 1–11.
  • Sakthivel, R.; Nieto, Juan J.; Mahmudov, N. I. Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay. Taiwanese J. Math. 14 (2010), no. 5, 1777–1797.
  • Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
  • Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
  • Mahmudov, N. I., Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers. Cent. Eur. J. Math. 8(2010), no. 4, 816–826.
  • Mahmudov, N. I.; Sabancigil, P., On genuine q-Bernstein-Durrmeyer operators. Publ. Math. Debrecen 76 (2010), no. 3-4, 465–479.
  • Mahmudov, N. I.; Kaffaoǧlu, H., On q-Szász-Durrmeyer operators. Cent. Eur. J. Math. 8 (2010), no. 2, 399–409.
  • Mahmudov, N. I., The moments for q-Bernstein operators in the case 0<q<1. Numer. Algorithms 53 (2010), no. 4, 439–450.
  • Mahmudov, N. I.; Sabancigil, P., Some approximation properties of q-parametric BBH operators, Journal of Computational Analysis and Applications, vol. 12, no. 1, pp. 111–123, 2010.
  • Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
  • Mahmudov, Nazim I. Korovkin-type theorems and applications. Cent. Eur. J. Math. 7 (2009), no. 2, 348--356.
  • Sakthivel, R.; Anandhi, E. R.; Mahmudov, N. I. Approximate controllability of second-order systems with state-dependent delay. Numer. Funct. Anal. Optim. 29 (2008), no. 11-12, 1347-1362.
  • Mahmudov, N. I.; Sabancigil, P. q-parametric Bleimann Butzer and Hahn operators. J. Inequal. Appl. 2008, Art. ID 816367, 15 pp.
  • Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces. Dynam. Systems Appl. 17 (2008), no.1, 53--70.
  • Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J.; Kim, J. H. On controllability of nonlinear impulsive integrodifferential systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 15 (2008), no. 3, 333--343.
  • Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
  • Mahmudov, Nazim I.; McKibben, Mark A. On a class of backward McKean-Vlasov stochastic equations in Hilbert space: existence and convergence properties. Dynam. Systems Appl. 16 (2007), no. 4, 643--664.
  • Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. The averaging method and two-sided bounded solutions of stochastic Itô systems. (Russian) Differ. Uravn. 43 (2007), no. 1, 52--63,142.
  • Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. Approximate controllability of nonlinear impulsive differential systems. Rep. Math. Phys. 60 (2007), no. 1, 85--96.
  • Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
  • Sakthivel, R.; Kim, J.-H.; Mahmudov, N. I. On controllability of nonlinear stochastic systems. Rep. Math. Phys. 58 (2006), no. 3, 433--443.
  • Mahmudov, N. I.; McKibben, M. A. Approximate controllability of second-order neutral stochastic evolution equations. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 13 (2006), no. 5, 619--634.
  • Mahmudov, N. I.; McKibben, M. A. Abstract second-order damped McKean-Vlasov stochastic evolution equations. Stoch. Anal. Appl. 24 (2006), no. 2, 303--328.
  • Mahmudov, N. I. Existence and uniqueness results for neutral SDEs in Hilbert spaces. Stoch. Anal. Appl. 24 (2006), no. 1, 79--95.
  • Dauer, J. P.; Mahmudov, N. I. Remark on existence result for second order evolution equations in Banach spaces. Int. J. Pure Appl. Math. 12 (2004), no. 4, 471--482.
  • Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
  • Mahmudov, Nazim Controllability and observability of linear stochastic systems in Hilbert spaces. Stochastic analysis and related topics VIII, 151--167, Progr. Probab., 53, Birkhäuser, Basel, 2003.
  • Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
  • Mahmudov, N. I.; Zorlu, S. Approximate controllability of semilinear neutral systems in Hilbert spaces. J. Appl. Math. Stochastic Anal. 16 (2003), no. 3, 233--242.
  • Mahmudov, Nazim I. On controllability of semilinear stochastic systems in Hilbert spaces. IMA J. Math. Control Inform. 19 (2002), no. 4, 363--376.
  • Mahmudov, N. I. The maximum principle for stochastic evolution systems in Hilbert spaces. Int. J. Pure Appl. Math. 2 (2002), no. 3, 287--298.
Projects
Conference Presentations

MS Thesis
  • Karanfiller, T.,  “Controllability of Finite Dimensional Deterministic Systems", Eastern Mediterranean University, 2005.
  • Güneş Çatma, “Bernoulli and Euler Polynomials", Eastern Mediterranean University, 2013
  • Olivia Obi, “Stability of Autonomous and Non-Autonomous Differential Equations", Eastern Mediterranean University, 2013
  • Ceren Ustaoğlu, “ Generalized Bernstein Polynomials", Eastern Mediterranean University, 2014
  • Oluwafemi Oludu, “Martingale Theory", Eastern Mediterranean University, 2015
  • Segun Ogunbayo, “ Markov Chains and Markov Processes", Eastern Mediterranean University, 2016
  • Kawa Mohammed Ali, “On Some Probabilistic methods in the Theory of Approximation Operators", Eastern Mediterranean University, 2016
  • İlkay Onbası, “ Orthogonal Polynomials and Differential Operators", Jan. 2017
  • Nouman Arshad, “Fractional Mixed Volterra-Fredholm Integrodifferential Equation, Eastern Mediterranean University, Feb.2017
  • Hemn Pirot Hussein, “Caputo Type Sequential Fractional Differential Equations", Eastern Mediterranean University, Jan. 2017
  • Ahmed Hersi Mohammed Matan, “Quantum Calculus on Finite Intervals and Applications to Impulsive Difference Equations", June 2017
  • Ferhad Taher, Quantum Integral Inequalities on Finite Intervals, June 2018
  • ASMAA MOHAMMED RUMADHAN ALWALEED, Fixed point theorems and its applications, devam ediyor
  • Çisil Hikmet,, q-Analogues of Discrete Probability Distributions, devam ediyor
PhD Thesis
Publications
  • S.   Zorlu and N. I. Mahmudov, Controllability of Non-linear Stochastic Systems, International Journal of Control, 2003, Vol 76, No.2, 95-104.
  • S. Zorlu and N. I. Mahmudov, Controllability of Semilinear Stochastic Systems, International Journal of Control, 2005, vol 78, 997-1004.
  • S.Zorlu, H.Aktuglu, M.A. Ozarslan, An Estimation to the Solution of an Initial Value Problem via  q-Bernstein Polynomials, Journal of Computational Analysis and Applications, vol 12, 2010.
  • Mahmudov, N. I.   Zorlu, S., Approximate controllability of fractional integro-differential equations  involving nonlocal initial conditions, BOUNDARY VALUE PROBLEMS, 2013
  • N.Mahmudov, S. Zorlu, On the approximate controllability of fractional evolution equations with compact analytic semigroup, Journal of Computational and Applied Mathematics, Journal  of Computational and Applied Mathematics, 2014 
Projects
Conference Presentations
  • S. Zorlu and N. Mahmudov, Controllability of Nonlinear Stochastic Systems, IASTED International Conference, Modelling, Identification and Control, February 18-21, 2002, Innsbruck, Austria
  • S. Zorlu and N.I.Mahmudov, Controllability of Semilinear Stochastic Systems, presented at the 16th International Symposium on Mathematical Theory of Networks and Systems, July 5-9,2004, Leuven, Belgium
  • S. Zorlu, H. Aktuğlu and M. A. Özarslan, An Estimation to the Solution of an Initial  Value Problem via q-Bernstein Polynomials, presented at the 12th International Congress on Computational and Applied Mathematics, July 10-14, 2006, Leuven, Belgium
  • H. Aktuğlu, S. Zorlu and M. A. Özarslan, Generalized Stancu Operators in one and two variables, presented at the 12th International Congress on Computational and Applied Mathematics, July 10-14, 2006, Leuven, Belgium
  • On the approximate controllability of fractional evolution equations with compact analytic semigroup, 16th International Congress on Computational and Applied Mathematics   (ICCAM), JUL 09-13, 2012, Ghent, BELGIUM
  • On w-Multiple Meixner Polynomials of First Kind,  THE  MEDITERRANEAN  INTERNATIONAL  CONFERENCE  OF  PURE PURE&APPLIED  MATHEMATICS  AND  RELATED  AREAS  Antalya-Turkey,  October  26-29,  2018  (MICOPAM 2018) 

MS Thesis
PhD Thesis
Publications
Projects
Conference Presentations

MS Thesis
  • Adaş, Hüseyin, 'Pareto Distribution; Theory and Applications' Doğu Akdeniz Üniversitesi, (devam ediyor)
  • Houag, Jean Martin, 'Stochastic Processes and Markov Chain', Doğu Akdeniz Üniversitesi, Eylül 2016
PhD Thesis
Publications
  • MAHMUDOV N. I., ŞEMİ N., Approximate Controllability of Semilinear Control Systems in Hilbert Spaces, TWMS J. App. Eng. Math., V.2, N.1, pp. 67 – 74, 2012.
  • BASHIROV A. E., ETİKAN H., ŞEMİ N., Partially Controllability of Stochastic Linear Systems, International Journal of Control, 83:12, pp. 2564 – 2572, 2010.
  • BASHIROV A. E., MAHMUDOV N., ŞEMİ N., ETİKAN H., Partial Controllability Concepts, International Journal of Control, Vol.80, No.1, PP. 1 – 7, 2007.
  • BASHIROV A. E., ETİKAN H., ŞEMİ N., Filtering, Smooting and Prediction for Wide – Band Noise Driven Linear Systems, Journal of The Franklin Institute, Vol.334B, No.4, pp. 667 – 683, 1997.
  • BASHIROV A. E., ETİKAN H., ŞEMİ N., On Duality Between Control and Estimation Problems, İstatistik, Journal of Turkish Statistical Association, Vol.1, No.1, pp.13 – 19, 1998.
Projects
Conference Presentations
  • ŞEMİ N., KANOL B., REFİK G. A., Kuzey Kıbrıs Türk Cumhuriyeti'nde Bilim ve Teknoloji Kullanımı Üzerine, VII. Türk Devlet ve Toplulukları, Dostluk, Kardeşlik ve İşbirliği Kurultayı, Richmond Hotel, Pamukkale – Denizli, 02 – 04.07.1999.
  • ŞEMİ N., BİLSEL A., Matematikte Kavram Yanılgıları, II. Ulusal Eğitim Sempozyumu, Marmara Üniversitesi – İstanbul, 18 – 20.09.1996.
  • ŞEMİ N., On Linear Prediction Problem for Shifted Noises, VII. Ulusal Matematik Sempozyumu, Bilkent Üniversitesi, Ankara, 29.08.– 02.09.1994   

 

 

Control-Theory