Robust Stabilization and H∞ Control of Uncertain Discrete-time Markovian Jump Linear Systems with Mode-dependent Time-delays

摘要

This paper investigates the robust stabilization and H∞ control for a class of discrete-time Markovian jump linear systems with norm-bounded uncertainties and time-delays both in the system state and in the mode signal. The delay in the system state is time-varying. The delay in the mode signal results in a constant mismatch between the modes of the controller and the corresponding subsystems. Then linear matrix inequality(LMI)-based sufficient conditions for the stochastic stability, stabilization and H∞ control are established. Our paper is an extension of [1].