Algebraic theory for time variant linear systems: modes, minimality and reachability and observability of interconnected systems

Author

Verriest, Erik I.

Author_Institution

Georgia Tech. Lorraine, Metz, France

fYear

1993

fDate

15-17 Dec 1993

Firstpage

1349

Abstract

Realization theory for time-invariant systems is extended, via the algebraic framework of skew polynomial rings. We emphasize the notions of greatest common divisors, the least common (left and right) multiples, the Bezout identity, and the use of these in resolving the modes for a time-varying system. Different canonical representations of the noncommutative polynomials lead directly to the canonical realizations for time varying systems. The PBH test is extended to time-varying systems, and its application for testing reachability and observability of interconnected systems is given

Keywords

controllability; large-scale systems; linear systems; matrix algebra; observability; polynomials; time-varying systems; Bezout identity; algebraic theory; canonical representations; greatest common divisors; interconnected systems; least common multiples; minimality; noncommutative polynomials; observability; reachability; skew polynomial rings; time variant linear systems; time-varying system; Coaxial components; Interconnected systems; Lead; Linear systems; Modules (abstract algebra); Observability; Polynomials; System testing; Time varying systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325406

Filename

325406