Finite-time boundedness of stochastic nonlinear reaction-diffusion systems with time delays and exogenous disturbances via boundary control

Document Type : Research Paper


Department of Mathematics, SRM Institute of Science and Technology, Ramapuram Campus, Chennai- 600 089, Tamil Nadu, India


This paper investigates an finite-time boundedness of stochastic nonlinear reaction-diffusion systems (SNRDSs) with time delays and exogenous disturbances via boundary control. Both SNRDSs with and without exogenous disturbances are discussed. We design boundary controller is efforts to achieve the required dynamic behaviors of such SNRDSs. By utilizing Lyapunov-Krasovskii functional (LKF), Wirtinger’s inequality, Gronwall inequality, and linear matrix inequalities (LMIs), sufficient conditions are derived to guarantee the finite-time bounded of proposed systems. Furthermore, the control gain matrices are defined for desired boundary controller. At last, two numerical examples are provided to demonstrate the efficacy and validity of obtained main results.


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Volume 13, Issue 2
July 2022
Pages 1821-1832
  • Receive Date: 27 January 2022
  • Revise Date: 23 February 2022
  • Accept Date: 09 May 2022