Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-12-01

Journal: SYSTEMS & CONTROL LETTERS

Included Journals: EI、SCIE、Scopus

Volume: 60

Issue: 12

Page Number: 1024-1031

ISSN: 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.