Robust stabilization and H∞ control of uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays

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].