基于边界采样控制的随机反应扩散系统稳定性OA

The stability of stochastic reaction-diffusion systems under boundary sampling control was dis-cussed.With the fully accessible system state,a boundary sampled-data controller was proposed,and a piece-wise discontinuous Lyapunov function related to the sampling interval was constructed.For stochastic reaction-diffusion systems,sufficient conditions for mean-square exponential stability,both in nominal and robust set-tings,were obtained with the Wirtinger inequality for spatial integrals and isomorphic discrete transformations,in the form of matrix inequalities.With the not fully accessible system state,an observer-based boundary sam-pled-data control strategy was proposed,and results for the mean-square exponential stability and the robust mean-square exponential stability of the system were obtained,respectively.Finally,the feasibility of the pro-posed methods was demonstrated through 3 numerical examples.