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Indexed by:期刊论文

Date of Publication:2013-09-19

Journal:IET CONTROL THEORY AND APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:7

Issue:14

Page Number:1834-1842

ISSN No.:1751-8644

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

Abstract: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.