FINITE TIME STABILITY OF DISCRETE MARKOVIAN JUMP SYSTEM OVER NETWORKS WITH RANDOM DUAL-DELAY

Zhen Zhou, Hongbin Wang, Zhongquan Hu, and Xiaojun Xue

Keywords

Markovian jump system, finite time stability, discrete system, random dual-delay, linear matrix inequality

Abstract

This paper investigates finite time stability for the networked discrete Markovian jump system (MJS) with random time delays, which occur in both sensor-controller (S/C) and controller-actuator (C/A). In contrast with the general MJSs, each time delay is addressed by two Markov chains with a bijection, so that the resulting closed-loop system via state feedback or output feedback is established as a discrete MJS with four random parameters. The system stability is derived from the Lyapunov stability theory, and some sufficient conditions on finite time stability are given in the form of the mode- based linear matrix inequality (LMI). Finally, illustrative numerical simulations are given to verify the effectiveness of the theoretical results.

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