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论文类型：期刊论文

发表时间：2016-11-10

发表刊物：INFORMATION SCIENCES

收录刊物：SCIE、EI、Scopus

卷号：369

页面范围：522-531

ISSN号：0020-0255

关键字：Switched positive systems; D-perturbation; Time-varying delay; Hysteresis switching; Copositive Lyapunov function

摘要：This paper is focused on studying the robust stability of switched positive systems with D-perturbation and time-varying delay. All subsystems are considered to be unstable. Based on the partition of state space on the nonnegative orthant, sufficient conditions in terms of linear programming are obtained to guarantee such system to be asymptotically stable. The hysteresis switching laws are designed to prevent chattering behavior via the single copositive Lyapunov function and multiple copositive Lyapunov functions approaches, respectively. Two illustrative examples concerned with price model of goods are provided to display the effectiveness of the obtained results. (C) 2016 Elsevier Inc. All rights reserved.