Stabilization by delay feedback control for highly nonlinear switched stochastic systems with non-differentiable delay

Abstract

The authors consider the stabilization of highly nonlinear switched stochastic systems with non-differentiable delay by delay feedback control. In this paper, switching signals of highly nonlinear switched stochastic systems are non-random which are different from the previous literature. Moreover, the time-varying delay of highly nonlinear switched stochastic systems is non-differentiable, while the time-varying delay of feedback control is constant or differentiable. By using the Lyapunov functional method and the mode-dependent average dwell time approach, we have established the delay-dependent stabilization criteria of highly nonlinear switched stochastic delay systems by delay feedback control. Finally, two numerical examples are provided to show the effectiveness of the developed theoretical results.