Asynchronous l2 – l∞ filtering of discrete-time impulsive switched systems with admissible edge-dependent average dwell time switching signal

In this paper, the asynchronous $ l_{2}-l_{\infty } $ l2−l∞ filtering problem is directed at a kind of discrete-time impulsive switched systems, where ‘asynchronous’ implies that there is a delay when switching occurs between filter modes and system modes. A novel Lyapunov function has been constructed. The inventiveness lies in discontinuity of Lyapunov-like function at both the switching time and the instant when the system modes and filter modes are matched. An improved inequality portraying the relationship among Lyapunov-like function, impulse, asynchronous phenomena and disturbance is built to pledge the $ l_{2}-l_{\infty } $ l2−l∞ performance. On the basis of directed graph, the novel Lyapunov function, the improved inequality and admissible edge-dependent average dwell time technology, some criteria suitable for proving the globally uniformly exponential stability of filtering error system are proposed with $ l_{2}-l_{\infty } $ l2−l∞ performance index, and the relevant filter can also be designed. Finally, three numerical examples show the availability of the obtained conclusions.