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.
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Veeraragavan, G., & Radhakrishnan, S. (2024). Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays. Computational Methods for Differential Equations, 12(2), 196-206. doi: 10.22034/cmde.2023.50986.2124
MLA
Gokulakrishnan Veeraragavan; Srinivasan Radhakrishnan. "Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays". Computational Methods for Differential Equations, 12, 2, 2024, 196-206. doi: 10.22034/cmde.2023.50986.2124
HARVARD
Veeraragavan, G., Radhakrishnan, S. (2024). 'Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays', Computational Methods for Differential Equations, 12(2), pp. 196-206. doi: 10.22034/cmde.2023.50986.2124
VANCOUVER
Veeraragavan, G., Radhakrishnan, S. Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays. Computational Methods for Differential Equations, 2024; 12(2): 196-206. doi: 10.22034/cmde.2023.50986.2124
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