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Finite-time stability and boundedness of switched nonlinear time-delay systems under state-dependent switching

This article investigates the finite-time stability, stabilization, and boundedness problems for switched nonlinear systems with time-delay. Unlike the existing average dwell-time technique based on time-dependent switching strategy, largest region function strategy, that is, state-dependent switching control strategy is adopted to design the switching signal, which does not require the switching instants to be given in advance. Some sufficient conditions which guarantee finite-time stable, stabilization, and boundedness of switched nonlinear systems with time-delay are presented in terms of linear matrix inequalities. Detail proofs are given using multiple Lyapunov-like functions. A numerical example is given to illustrate the effectiveness of the proposed methods. © 2014 Wiley Periodicals, Inc. Complexity 21: 267-275, 2015