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Veeraragavan, Gokulakrishnan, Radhakrishnan, Srinivasan. (1402). Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays. سامانه مدیریت نشریات علمی, 12(2), 196-206. doi: 10.22034/cmde.2023.50986.2124
Gokulakrishnan Veeraragavan; Srinivasan Radhakrishnan. "Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays". سامانه مدیریت نشریات علمی, 12, 2, 1402, 196-206. doi: 10.22034/cmde.2023.50986.2124
Veeraragavan, Gokulakrishnan, Radhakrishnan, Srinivasan. (1402). 'Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays', سامانه مدیریت نشریات علمی, 12(2), pp. 196-206. doi: 10.22034/cmde.2023.50986.2124
Veeraragavan, Gokulakrishnan, Radhakrishnan, Srinivasan. Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays. سامانه مدیریت نشریات علمی, 1402; 12(2): 196-206. doi: 10.22034/cmde.2023.50986.2124

Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays

Computational Methods for Differential Equations
مقاله 1، دوره 12، شماره 2، خرداد 2024، صفحه 196-206    اصل مقاله (335.66 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.50986.2124
نویسندگان
Gokulakrishnan Veeraragavan؛ Srinivasan Radhakrishnan*
Department of Mathematics, SRM Institute of Science and Technology, Ramapuram Campus, Chennai - 600 089, Tamilnadu, India.
چکیده
This paper is focused on studying the stabilization problems of stochastic nonlinear reaction-diffusion systems (SNRDSs) with time-varying delays via boundary control. Firstly, the boundary controller was designed to stabilization for SNRDSs. By utilizing the Lyapunov functional method, Ito’s differential formula, Wirtinger’s inequality, Gronwall inequality, and LMIs, sufficient conditions are derived to guarantee the finite-time stability (FTS) of proposed systems. Secondly, the basic expressions of the control gain matrices are designed for the boundary controller. Finally, numerical examples are presented to verify the efficiency and superiority of the proposed stabilization criterion. 
کلیدواژه‌ها
Stochastic nonlinear systems؛ Reaction-diffusion terms؛ Boundary control؛ Time-varying delays
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