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Indexed by:期刊论文

Date of Publication:2011-12-01

Journal:SYSTEMS & CONTROL LETTERS

Included Journals:Scopus、SCIE、EI

Volume:60

Issue:12

Page Number:1024-1031

ISSN No.:0167-6911

Key Words:Discrete linear time-varying system; Nest algebra; Complete finiteness; Strong representation; Stabilization

Abstract:In this paper, we consider the stabilization problem for discrete linear time-varying systems in an operator-theoretic framework. By using the complete finiteness of a certain discrete nest algebra, we show that a system is stabilizable if and only if it has one kind of strong representation and we also give a parametrization for all the stabilizing controllers in terms of this strong representation. This result extends the Youla parametrization theorem by only requiring a strong left or a strong right representation but not both. The strong stabilization problem is also discussed. (C) 2011 Elsevier B.V. All rights reserved.