Exponential Stability for a Class of Discrete-Time Switched Systems and Its Applications to Multiagent Systems

.This paper studies the exponential stabilization problem for a class of discrete-time linear switched systems arising from establishing the output-based distributed observer and the output-based adaptive distributed observer for discrete-time linear leader systems over jointly connected switching networks. The existing results on distributed observers and adaptive distributed observers are state-based in the sense that they need to make use of the full state of the leader system, which is quite restrictive since, in many applications, only the output of the leader system is available. As an application, the output-based distributed observer is used to solve a leader-following consensus problem for discrete-time linear multiagent systems by distributed output feedback control.Keywordslinear switched systemsdiscrete-time systemsoutput-based distributed observersleader-following consensusMSC codes93B0793C0593C5593D20