Delay-range-dependent stability for uncertain stochastic systems with time-varying delay

Abstract

This paper deals with the problems of robust stochastic stabilization for uncertain stochastic systems with a time-varying delay in the state. The parameter uncertainties are assumed to be time-varying norm-bounded appearing in the state. Some delay-range-dependent stability criteria are derived based on the new Lyapunov functional and the consideration of range for the time-delay. An example illustrating the proposed approach is provided.