Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay

Abstract EN

This paper provides a delay-dependent criterion for a class of singular stochastic hybrid systems with mode-dependent time-varying delay.

In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals.

Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse-free, and mean-square exponentially stable.

Numerical examples are presented to illustrate the effectiveness of proposed method.