Robust stability and convergence of switched systems under admissible edge-dependent switch constraints

As the control system research object becomes more and more complex, the switching system is one of them, and the analysis of its stability becomes more and more challenging. And the switching system also includes many types, each type needs to be analyzed separately. This article focuses on one of the switching systems, namely time-dependent switched systems under admissible edge-dependent average dwell time (AEDADT) switch constraint, and analyzes its stability. Firstly, the concept of AED-ADT is expanded, then the convergence criterion of switched system under the extended AED-ADT switching constraint is given. Finally, two numerical examples are given to show the effectiveness of the results.