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论文类型：期刊论文

发表时间：2015-04-01

发表刊物：SYSTEMS & CONTROL LETTERS

收录刊物：SCIE、EI、Scopus

卷号：78

页面范围：55-62

ISSN号：0167-6911

关键字：Simultaneous stabilization; Transitivity; Nest algebra; Coprime factorization; Time-varying system

摘要：This paper develops necessary and sufficient conditions for the so-called transitivity and strong transitivity (precise definitions later) for a family of discrete time-varying linear systems, which when satisfied lead to characterizations for simultaneous stabilizability and simultaneously stabilizing feedback controllers. Some criteria for the strong transitivity are established in terms of single coprime factorizations of only one plant and one controller, the resulting characterization involves coprime factorizations of fewer systems compared to previous work. (C) 2015 Elsevier B.V. All rights reserved.