A Stability Condition with Delay-Dependence for a Class of Switched Large-Scale Time-Delay Systems

Abstract

By using the time-switched method and the comparison theorem, we derived a criterion of delay-dependent stability for the switched large-scale time-delay systems. To guarantee the exponential stability for the switched large-scale time-delay systems with stability margin $\lambda$, the total activation time ratio of the switching law is determined. An example is used to illustrate the effectiveness of our result.