l(2) - l(infinity) filtering of discrete-time switched systems via admissible edge-dependent switching signals

The problems of stability and l(2) - l(infinity) filtering are studied in this paper for a class of discrete-time switched systems. A novel admissible edge-dependent average dwell time switching is proposed on the basis of the directed graph. A condition ensuring the global uniform exponential stability of discrete-time switched systems is established. A new inequality that depicted the relation between Lyapunov-like function and disturbances is presented to guarantee the l(2) - l(infinity) performance. Combined with the multiple Lyapunov-like function technology, the filtering error system is proved to be globally uniformly exponentially stable with l(2) - l(infinity) performance, and the corresponding filter can also be obtained. Finally, three numerical examples are illustrated to show the effectiveness of the proposed results. (C) 2017 Elsevier B.V. All rights reserved.