Stabilization of hybrid stochastic differential equations with multiple delays via intermittent control

Abstract

In this paper, we study stability of hybrid stochastic differential equations (SDEs) with multiple delays by intermittent control based on time‐varying delay observations. By constructing an auxiliary non‐delayed hybrid stochastic differential equation and using ‐matrix theory, Lyapunov method, and the comparison principle, sufficient criterions to guarantee the th moment exponential stability and almost sure exponential stability of hybrid SDEs are derived. Finally, a simulation example is shown to illustrate the validity of theoretical results.