LMI-Based Stability Criteria for Large-Scale Time-Delay Systems

Abstract

In this paper, the problem of asymptotic stability analysis for a class of linear large-scale systems with time delay in the state of each subsystem as well as in the interconnections is addressed in detail. By utilizing a model transformation and the Lyapunov stability theory, a delay-dependent criterion for stability analysis of the systems is derived in terms of some certain linear matrix inequalities (LMIs). A numerical example is given to illustrate that the proposed result is effective.