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International Journal of Control Volume 76, 2003 - Issue 2
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Original Articles

Controllability of non-linear stochastic systems

N. I. Mahmudov Department of Mathematics, Eastern Mediterranean University, Gazi Magusa, Mersin 10, Turkey
&
S. Zorlu Department of Mathematics, Eastern Mediterranean University, Gazi Magusa, Mersin 10, Turkey
Pages 95-104 | Published online: 08 Nov 2010

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P. Tamilalagan & P. Balasubramaniam. (2017) Approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion via resolvent operators. International Journal of Control 90:8, pages 1713-1727.
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Anurag Shukla, Urvashi Arora & N Sukavanam. (2016) Approximate controllability of semilinear stochastic system with multiple delays in control. Cogent Mathematics 3:1.
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Urvashi Arora & N. Sukavanam. (2016) Approximate controllability of impulsive semilinear stochastic system with delay in state. Stochastic Analysis and Applications 34:6, pages 1111-1123.
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S. Karthikeyan, K. Balachandran & J.-H. Kim. (2016) On controllability for a class of second order semilinear stochastic systems. Journal of Control and Decision 3:4, pages 211-222.
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El Hassan Lakhel. (2016) Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion. Stochastic Analysis and Applications 34:3, pages 427-440.
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Lijuan Shen & Qidi Wu. (2014) Approximate controllability of nonlinear stochastic impulsive systems with control acting on the nonlinear terms. International Journal of Control 87:8, pages 1672-1680.
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S. Karthikeyan & K. Balachandran. (2013) On controllability for a class of stochastic impulsive systems with delays in control. International Journal of Systems Science 44:1, pages 67-76.
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K. Balachandran, S. Karthikeyan & J.Y. Park. (2009) Controllability of stochastic systems with distributed delays in control. International Journal of Control 82:7, pages 1288-1296.
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R. Sakthivel, N.I. Mahmudov & Sang-Gu Lee. (2009) Controllability of non-linear impulsive stochastic systems. International Journal of Control 82:5, pages 801-807.
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K. Balachandran & S. Karthikeyan. (2007) Controllability of stochastic integrodifferential systems. International Journal of Control 80:3, pages 486-491.
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Sadam Hussain, Muhammad Sarwar, Kamaleldin Abodayeh, Chanon Promsakon & Thanin Sitthiwirattham. (2024) Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions. Chaos, Solitons & Fractals 183, pages 114876.
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G. Arthi, M. Vaanmathi & Yong-Ki Ma. (2024) Controllability of stochastic fractional systems involving state-dependent delay and impulsive effects. Advances in Continuous and Discrete Models 2024:1.
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G. Arthi, M. Vaanmathi & Yong-Ki Ma. (2023) Controllability Analysis of Impulsive Multi-Term Fractional-Order Stochastic Systems Involving State-Dependent Delay. Fractal and Fractional 7:10, pages 727.
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Zhaoqiang Ge. (2023) Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces by GE-Evolution Operator Method. Mathematics 11:3, pages 743.
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Nazim I. Mahmudov. (2023) Mean Square Finite-Approximate Controllability of Semilinear Stochastic Differential Equations with Non-Lipschitz Coefficients. Mathematics 11:3, pages 639.
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Qura Tul Ain, Muhammad Nadeem, Ali Akgül & Manuel De la Sen. (2022) Controllability of Impulsive Neutral Fractional Stochastic Systems. Symmetry 14:12, pages 2612.
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Barakah Almarri, Xingtao Wang & Ahmed M. Elshenhab. (2022) Controllability of Stochastic Delay Systems Driven by the Rosenblatt Process. Mathematics 10:22, pages 4223.
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Barakah Almarri & Ahmed M. Elshenhab. (2022) Controllability of Fractional Stochastic Delay Systems Driven by the Rosenblatt Process. Fractal and Fractional 6:11, pages 664.
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Zhaoqiang Ge. (2022) Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces. Mathematics 10:17, pages 3050.
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Zhaoqiang Ge. (2021) Review of the Latest Progress in Controllability of Stochastic Linear Systems and Stochastic GE-Evolution Operator. Mathematics 9:24, pages 3240.
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J. Priyadharsini & P. Balasubramaniam. (2021) Optimal control for fractional higher order damped stochastic impulsive systems. Mathematical Methods in the Applied Sciences 44:7, pages 5930-5952.
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Lixu Yan & Yongqiang Fu. (2021) Approximate Controllability of Fully Nonlocal Stochastic Delay Control Problems Driven by Hybrid Noises. Fractal and Fractional 5:2, pages 30.
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T. Sathiyaraj, JinRong Wang & D. O'Regan. (2020) Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 151:1, pages 217-239.
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Ramkumar K, K. RAVİKUMAR, Elsayed ELSAYED & A. ANGURAJ. (2020) Approximate Controllability for Time-Dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Memory. Universal Journal of Mathematics and Applications 3:3, pages 115-120.
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T. Sathiyaraj & P. Balasubramaniam. (2016) Null Controllability of Nonlinear Fractional Stochastic Large-Scale Neutral Systems. Differential Equations and Dynamical Systems 27:4, pages 515-528.
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T. Sathiyaraj & P. Balasubramaniam. (2019) Controllability of Hilfer fractional stochastic system with multiple delays and Poisson jumps. The European Physical Journal Special Topics 228:1, pages 245-260.
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T. Sathiyaraj & P. Balasubramaniam. (2018) Controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion. ISA Transactions 82, pages 107-119.
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S. Karthikeyan, M. Sathya & K. Balachandran. (2017) Controllability of semilinear stochastic delay systems with distributed delays in control. Mathematics of Control, Signals, and Systems 29:4.
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Anurag Shukla, N Sukavanam & D. N. Pandey. (2016) Approximate Controllability of Fractional Semilinear Stochastic System of Order α∈ (1,2]. Journal of Dynamical and Control Systems 23:4, pages 679-691.
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T. Sathiyaraj & P. Balasubramaniam. (2017) The Controllability of Fractional Damped Stochastic Integrodifferential Systems. Asian Journal of Control 19:4, pages 1455-1464.
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T. Sathiyaraj & P. Balasubramaniam. (2016) Controllability of fractional neutral stochastic integrodifferential inclusions of order $p \in (0,1]$ p ∈ ( 0 , 1 ] , $q \in (1,2]$ q ∈ ( 1 , 2 ] with fractional Brownian motion. The European Physical Journal Plus 131:10.
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Urvashi Arora & N. Sukavanam. (2016) Approximate controllability of second order semilinear stochastic system with variable delay in control and with nonlocal conditions. Rendiconti del Circolo Matematico di Palermo (1952 -) 65:2, pages 307-322.
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Kenji Kashima. (2016) Optimality of simulation-based nonlinear model reduction: Stochastic controllability perspective. Optimality of simulation-based nonlinear model reduction: Stochastic controllability perspective.
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Artur Babiarz, Jerzy Klamka & Michał Niezabitowski. (2016) Schauder’s fixed-point theorem in approximate controllability problems. International Journal of Applied Mathematics and Computer Science 26:2, pages 263-275.
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Jerzy Klamka & Adam Czornik. (2016) Stochastic controllability of linear systems with delay in control. Stochastic controllability of linear systems with delay in control.
Toufik Guendouzi & Souad Farahi. (2015) Approximate Controllability of Semilinear Fractional Stochastic Dynamic Systems with Nonlocal Conditions in Hilbert Spaces. Mediterranean Journal of Mathematics 13:2, pages 637-656.
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Marcin Witczak, Damiano Rotondo, Vicenç Puig & Piotr Witczak. (2015) A practical test for assessing the reachability of discrete-time Takagi–Sugeno fuzzy systems. Journal of the Franklin Institute 352:12, pages 5936-5951.
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Anurag Shukla, N. Sukavanam & D. N. Pandey. (2015) Approximate controllability of second order semilinear stochastic system with nonlocal conditions. ANNALI DELL'UNIVERSITA' DI FERRARA 61:2, pages 355-366.
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Toufik Guendouzi & Souad Farahi. (2015) Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems. Boletín de la Sociedad Matemática Mexicana 21:2, pages 289-308.
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Anurag Shukla, Urvashi Arora & N. Sukavanam. (2014) Approximate controllability of retarded semilinear stochastic system with non local conditions. Journal of Applied Mathematics and Computing 49:1-2, pages 513-527.
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Meili Li & Man Liu. (2015) Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay. Discrete Dynamics in Nature and Society 2015, pages 1-16.
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Juxia Xiong, Guiqing Liu & Lijuan Su. (2015) Controllability of Nonlinear Impulsive Stochastic Evolution Systems Driven by Fractional Brownian Motion. Mathematical Problems in Engineering 2015, pages 1-9.
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Toufik Guendouzi & Lamia Bousmaha. (2014) Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay. Qualitative Theory of Dynamical Systems 13:1, pages 89-119.
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Anurag Shukla, N Sukavanam & D.N. Pandey. (2014) Controllability of Semilinear Stochastic System with Multiple Delays in Control. IFAC Proceedings Volumes 47:1, pages 306-312.
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R. Sakthivel, R. Ganesh, Yong Ren & S.M. Anthoni. (2013) Approximate controllability of nonlinear fractional dynamical systems. Communications in Nonlinear Science and Numerical Simulation 18:12, pages 3498-3508.
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Toufik Guendouzi & Iqbal Hamada. (2013) Relative controllability of fractional stochastic dynamical systems with multiple delays in control. Malaya Journal of Matematik 1:1, pages 86-97.
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Lijuan Shen & Jitao Sun. (2012) Relative controllability of stochastic nonlinear systems with delay in control. Nonlinear Analysis: Real World Applications 13:6, pages 2880-2887.
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Shujie Yang, Bao Shi & Qiang Zhang. (2012) Complete controllability of nonlinear stochastic impulsive functional systems. Applied Mathematics and Computation 218:9, pages 5543-5551.
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Shanmugasundaram Karthikeyan & Krishnan Balachandran. (2011) Constrained controllability of nonlinear stochastic impulsive systems. International Journal of Applied Mathematics and Computer Science 21:2, pages 307-316.
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Lijuan Shen, Junping Shi & Jitao Sun. (2010) Complete controllability of impulsive stochastic integro-differential systems. Automatica 46:6, pages 1068-1073.
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S. Karthikeyan & K. Balachandran. (2009) Controllability of nonlinear stochastic neutral impulsive systems. Nonlinear Analysis: Hybrid Systems 3:3, pages 266-276.
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Jerzy Klamka. (2009) Stochastic Controllability of Systems with Multiple Delays in Control. International Journal of Applied Mathematics and Computer Science 19:1, pages 39-48.
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Jerzy Klamka. (2008) Stochastic controllability and minimum energy control of systems with multiple delays in control. Applied Mathematics and Computation 206:2, pages 704-715.
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K. Balachandran & S. Karthikeyan. (2008) Controllability of nonlinear Itô type stochastic integrodifferential systems. Journal of the Franklin Institute 345:4, pages 382-391.
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Shanmugasundaram Karthikeyan. (2008) Controllability of perturbed nonlinear stochastic integrodifferential systems. PAMM 7:1, pages 2030009-2030010.
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Jerzy Klamka. (2007) Stochastic Controllability of Linear Systems With State Delays. International Journal of Applied Mathematics and Computer Science 17:1, pages 5-13.
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