Robust decentralized stabilization for large-scale systems with multiple time-varying delays and nonlinear uncertainties

Abstract

In this paper, the problem of the robust stabilization for a class of uncertain large-scale systems with multiple time-varying delays is investigated. The uncertainties are nonlinear time-varying and do not require a matching condition. The memoryless state-feedback controller for the robust stabilization of the systems is proposed. Based on the Lyapunov method, a sufficient condition for the stability is derived in terms of a linear matrix inequality (LMI). A numerical example is given to illustrate the proposed method.