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论文类型：期刊论文

发表时间：2013-09-19

发表刊物：IET CONTROL THEORY AND APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：7

期号：14

页面范围：1834-1842

ISSN号：1751-8644

关键字：discrete systems; stability; time-varying systems; simultaneous stabilisation; discrete time-varying systems; nest algebra; necessary and sufficient conditions; transitivity; simultaneous stabiliser parameterisation

摘要：In this study, the authors study the transmission problem in simultaneous stabilisation of discrete time-varying systems in the frame work of nest algebra. The necessary and sufficient conditions are developed for the transitivity and strong transitivity in simultaneous stabilisation, respectively. Some criterions for these two properties are established in terms of singly strong representations of only one or two given plants but not all. Finally, the authors give parameterisations of simultaneous stabilisers when the properties of transitivity hold.