Stably-freeness and multidimensional systems with structural stability

Author

Mori, Kazuyoshi

Author_Institution

Sch. of Comput. Sci. & Eng., Aizu Univ., Japan

Volume

2

fYear

2001

fDate

6-9 May 2001

Firstpage

381

Abstract

We are concerned with the multidimensional systems based on the algebraic approach. In the case of noncommensurate delays, there are some stabilizable plants that do not have coprime factorizations. We consider the stably-freeness and Hermite as intermediate notions of coprime factorizability. We give that when noncommensurate delays are considered in the sense that we cannot use the unit delay, even if the stably-freeness does not hold, the set of stable causal transfer functions is Hermite in general. Further we present the parameterization of the stabilizing controller that can be applied even if there is not one of right-/left-coprime factorization

Keywords

Hermitian matrices; delays; multidimensional systems; stability; transfer functions; Hermite; algebraic approach; coprime factorizability; intermediate notions; multidimensional systems; noncommensurate delays; stabilizable plants; stabilizing controller; stable causal transfer functions; stably-freeness; structural stability; unit delay; Computer science; Control systems; Control theory; Delay systems; Magnetooptic recording; Modules (abstract algebra); Multidimensional systems; Polynomials; Structural engineering; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921087

Filename

921087