Title of article :
Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays
Author/Authors :
Veeraragavan ، Gokulakrishnan Department of Mathematics - SRM Institute of Science and Technology, Ramapuram Campus , Radhakrishnan ، Srinivasan Department of Mathematics - SRM Institute of Science and Technology, Ramapuram Campus
Abstract :
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.
Keywords :
Stochastic nonlinear systems , reaction , diffusion terms , boundary control , Time , varying delays
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
