Stochastic exponential stabilization of hybrid systems with time‐varying delays via adaptive control

Abstract

The problem of stochastic stabilization for a class of hybrid dynamical systems with time-varying delays is investigated by adaptive control approach. An adaptive controller is designed to stabilize the hybrid systems, and a sufficient criterion for exponential stabilization is derived based on certain conditions. The time-varying delay observations on the states of noise are made and the least upper bound of time-varying delays is also obtained. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed new techniques.