Asynchronous control for nonlinear switched stochastic delayed systems with weighted mode-dependent average dwell time

Abstract

This article investigates the asynchronous control for a class of nonlinear switched stochastic delayed systems. In response to this issue, the weighted mode-dependent average dwell time is first applied to switched stochastic systems as a more general switching signal. In addition, the asynchronous phenomenon is considered to address the mismatch in practical applications, where “mismatch” means the switching of the controllers has a delay to the switching of system modes. Then by selecting new multiple Lyapunov–Krasovskii functionals, sufficient conditions for mean-square exponential stability and an ${\mathscr{H}}_{\infty }$ performance are derived. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods.