Stability analysis of Markovian jump systems with delay switching and state signals

This paper addresses stability for Markovian jump systems with delay switching and state signals. Due to the time delay in state and switching, the system analysis is complex and difficult. In order to analyse these factors clearly, a novel construction method based on indicator function is proposed to solve the delay switching problem and some novel enlarging techniques are presented to establish LMI conditions ultimately. Two numerical examples are used to show the effectiveness and superiority of the methods.