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(infinity) 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 instantwhenthe systemmodesand filtermodesare matched. Animproved inequality portraying the relationship among Lyapunov-like function, impulse, asynchronous phenomena and disturbance is built to pledge the l(2) - l(infinity) 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(infinity) performance index, and the relevant filter can also be designed. Finally, three numerical examples show the availability of the obtained conclusions.

Automated summary

This paper addresses the asynchronous l(2) - l(infinity) filtering problem for discrete-time impulsive switched systems, proposing a novel Lyapunov function and an improved inequality to ensure filtering system performance. Criteria for proving globally uniformly exponential stability using directed graphs and average dwell time technology are suggested. Three numerical examples demonstrate the effectiveness of the conclusions drawn.