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论文类型：期刊论文

发表时间：2011-12-01

发表刊物：SYSTEMS & CONTROL LETTERS

收录刊物：Scopus、SCIE、EI

卷号：60

期号：12

页面范围：1024-1031

ISSN号：0167-6911

关键字：Discrete linear time-varying system; Nest algebra; Complete finiteness; Strong representation; Stabilization

摘要：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.