Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 23
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شناسه ملی سند علمی:
JR_CMDE-12-2_001
تاریخ نمایه سازی: 28 اسفند 1402
چکیده مقاله:
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.
کلیدواژه ها:
نویسندگان
Gokulakrishnan Veeraragavan
Department of Mathematics, SRM Institute of Science and Technology, Ramapuram Campus, Chennai - ۶۰۰ ۰۸۹, Tamilnadu, India.
Srinivasan Radhakrishnan
Department of Mathematics, SRM Institute of Science and Technology, Ramapuram Campus, Chennai - ۶۰۰ ۰۸۹, Tamilnadu, India.