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论文类型：期刊论文

发表时间：2016-09-01

发表刊物：AUTOMATICA

收录刊物：SCIE、EI、Scopus

卷号：71

期号：71

页面范围：72-77

ISSN号：0005-1098

关键字：Hybrid systems with memory; Delay systems; Razumikhin-type conditions; Pre-asymptotically stable

摘要：In this paper, we address the stability problem of hybrid systems with memory, which are newly developed to model hybrid dynamic systems affected by delays. For such systems, stability criteria are developed based on Razumikhin-type conditions, which are usually applied in the delay systems. We prove that the hybrid system with memory is uniformly globally pre-asymptotically stable by small gain theorem. Besides, a relaxed Razumikhin-type stability criterion is also proposed which does not require strict decrease of the Lyapunov-Razumikhin function during jumps. Several examples are given to illustrate the effectiveness and generality of the proposed results. (C) 2016 Elsevier Ltd. All rights reserved.