Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-04-01

Journal: SYSTEMS & CONTROL LETTERS

Included Journals: Scopus、EI、SCIE

Volume: 66

Issue: 1

Page Number: 58-64

ISSN: 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.