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Indexed by:期刊论文

Date of Publication:2014-04-01

Journal:SYSTEMS & CONTROL LETTERS

Included Journals:SCIE、EI、Scopus

Volume:66

Issue:1

Page Number:58-64

ISSN No.:0167-6911

Key Words:Normalized factorization; Representation; Stabilizability; Time-varying system; Nest algebra

Abstract:We study the system representations, factorizations and stabilizability of a discrete-time time-varying linear system in the framework of nest algebra. We shown that every time-varying linear system admits a normalized left factorization, while it may possibly not have a right factorization. The relationship between the system representation and factorization is studied, and some new stabilizability criteria are established. (c) 2014 Elsevier B.V. All rights reserved.