Dissipative Filtering for Singular Semi-Markovian Jump Systems with Time-Varying Delays

Abstract

In this paper, the problem of dissipative filtering for time-varying delayed singular semi-Markovian jump systems is concerned. The main objective is to design a mode-dependent dissipative filter to guarantee the stochastic admissibility of the error system. Firstly, by employing Lyapunov-Krasovskii functionals, the error system is proved to be stochastically admissible and strictly (Q, S, R)-dissipative. Secondly, the desired dissipative filter are acquired by applying linear matrix inequalities. In order to demonstrate the effectiveness of the proposed method, a numerical example is finally provided.