An Exponential Stability Result for a Class of Linear Switched Systems and Its Application

In this paper, we first present two sufficient conditions to guarantee the uniform global exponential stability (UGES) for a general class of linear switched systems. These two conditions then lead to a UGES result for a specific class of linear switched systems that arises from some cooperative control problems of linear multi-agent systems over switching communication networks. As an application of this stability result, we further develop an output-based adaptive distributed observer over a directed and jointly connected switching communication network, which is more general than the existing output-based distributed observer.