Global output-feedback stabilisation of switched stochastic non-linear time-delay systems under arbitrary switchings

Abstract

This study considers the global output-feedback control for a class of switched stochastic non-linear time-delay systems under arbitrary switchings. By using the backstepping technique and choosing an appropriate Lyapunov-Krasoviskii functional, an output-feedback controller independent of switching signals is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Two simulation examples are provided to show the effectiveness of the designed controller.