Stability of switched systems with time-varying delays: delay-dependent common Lyapunov functional approach

Abstract

By using a descriptor system approach and the linear matrix inequality (LMI) technique, we investigate the problem of delay-dependent common Lyapunov functions (DCLFs) for switched linear systems with mode-dependent delays. The main contribution of this paper is that we establish the relationship between the delay-dependent common Lyapunov functions for switched delay systems and the well-known common Lyapunov functions (CLFs) for the corresponding systems without delays.