Delay-dependent Stability and Robust H_∞ Control for Discrete-time Markovian Jump Linear Systems with Mode-dependent Delays

摘要

In this paper, the stability, stabilization and H_∞ control problems for a class of uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays are investigated. The key features of the approach include the introduction of a new stochastic Lyapunov functional and some free weighting matrices involved in a special inequality. New Delay-dependent sufficient conditions for the problems are developed in terms of linear matrix inequalities. Numerical examples are provided to demonstrate the reduced conservatism of the proposed approach.