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

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2 Author(s)
Wang Xianyuan ; Dept. of Math., Tianjin Univ., Tianjin, China ; Xie Dongmei

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].

Published in:

Control Conference (CCC), 2010 29th Chinese

Date of Conference:

29-31 July 2010