Delay-Range-Dependent Robust Exponential Stabilization for Uncertain System with Mode-Dependent Time Delays and Markovian Jump Parameters

摘要

This paper is concerned with the problem of robust exponential stabilization for uncertain system with modedependent time delays and Markovian jump parameters. The delay factor is assumed to be time-varying and belongs to a given interval. The uncertainties considered in this paper are norm-bounded and possibly time-varying. A new state feedback controller with uncertain Markovian jump parameters is also designed such that the closed-loop systems are exponentially mean-square stable for all admissible uncertainties. By Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria for the exponential stability of uncertain linear system with mode-dependent time delays and Markovian jump Parameters is derived in terms of linear matrix inequalities(LMIs). A numerical example is given to illustrate the effectiveness of the method.