Boundary Stabilization of Complex Coupled Hyperbolic Stochastic Systems

This study considers the boundary stabilization for complex coupled hyperbolic stochastic systems under the framework of Lyapunov stability. A boundary controller is designed for complex coupled hyperbolic stochastic systems, and sufficient criteria are presented to ensure the mean-square exponential stability of the controlled systems. From the obtained sufficient criterion, the relationship between characteristic velocity and the position of boundary controller is analyzed. An simulation is given to illustrate the effectiveness of the theoretical results.