Stability tests for 2-D systems using the Schwarz form and the inners determinants

Author

Kanellakis, A. ; Tzafestas, S. ; Theodorou, N.

Author_Institution

Dept. of Electr. Eng., Nat. Tech. Univ. of Athens, Greece

Volume

38

Issue

9

fYear

1991

fDate

9/1/1991 12:00:00 AM

Firstpage

1071

Lastpage

1077

Abstract

New stability tests for two-dimensional (2-D) (discrete/continuous) systems using the Schwarz form and the concept of inner determinants are presented. The properties of the Schwarz matrix are used for checking the stability of 2-D systems in state-space. Two innerwise matrices that have inner determinants equivalent to the principal minors of the Hermitian Schur-Cohn/Hermite matrix are introduced. The implementation of these new stability tests for discrete/continuous 2-D systems is discussed. The proposed methods offer a simplification by not requiring the positivity of many polynomials. The theoretical results are illustrated by nontrivial examples

Keywords

discrete systems; matrix algebra; multidimensional systems; polynomials; stability; state-space methods; Schwarz matrix; continuous 2D systems; discrete 2D systems; inners determinants; stability tests; state-space; Circuits and systems; Computational complexity; Continuous time systems; Equations; Frequency domain analysis; Polynomials; Stability; State-space methods; Sufficient conditions; System testing;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.83877

Filename

83877