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

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.