The block decoupling problem for systems over a ring

Author

Conte, G. ; Perdon, A.M.

Author_Institution

Dipartimento di Elettronica e Autom., Ancona Univ., Italy

Volume

43

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

1600

Lastpage

1604

Abstract

The decoupling problem by static-state feedback for a system with coefficients in a ring is investigated using a geometric approach. The notion of a precontrollability submodule, which captures the geometric aspects of the notion of controllability subset of the state space in the present context, is introduced and it is used for stating solvability conditions for the decoupling problem for a system with coefficients in a Noetherian ring. This result extends and improves previous results concerning systems with coefficients in a principal ideal domain and it can, in particular, be used for dealing with decoupling problem involving delay-differential systems

Keywords

algebra; controllability; delay-differential systems; geometry; state feedback; Noetherian ring; block decoupling problem; controllability subset; delay-differential systems; geometric approach; geometric aspects; precontrollability submodule; ring; solvability conditions; state space; static-state feedback; Algebra; Controllability; Delay systems; Instruments; Modules (abstract algebra); Polynomials; State feedback; State-space methods; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.728878

Filename

728878