Abstract
This paper considers the boundary stabilization of stochastic delay reaction-diffusion systems(SDRDSs). We present the integral-form Lyapunov stability lemma for SDRDSs which provides the foundation of stability analysis for stochastic reaction-diffusion systems. Then, we design a boundary controller and obtain a criterion to guarantee the globally stochastically asymptotical stability of SDRDSs with Neumann boundary conditions. In addition, when the external disturbances enter in a given systems, we design a boundary controller and get the sufficient condition for the mean-square H ∞ performance. Two numerical examples verifying the validity of the results are obtained in this paper.
Published Version
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