Exact stability analysis of 2D systems using LMIs

Author

Ebihara, Yoshio ; Ito, Yoshimichi ; Hagiwara, Tomomichi

Author_Institution

Dept. of Electr. Eng., Kyoto Univ., Japan

Volume

2

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

1270

Abstract

In this paper, we propose necessary and sufficient conditions for asymptotic stability analysis of 2D systems in terms linear matrix inequalities (LMIs). By introducing a guardian map for the set of Schur stable complex matrices, we first reduce the stability analysis problems into nonsingularity analysis problems of parameter-dependent complex matrices. Then, by means of the discrete-time positive real lemma and the generalized S-procedure, we derive LMI-based conditions to verify the asymptotic stability in an exact (i.e., nonconservative) fashion. It turns out that we can reduce the size of LMIs by employing the generalized S-procedure.

Keywords

asymptotic stability; control system analysis; linear matrix inequalities; multidimensional systems; 2D systems; LMI; Schur stable complex matrices; asymptotic stability analysis; discrete-time positive real lemma; exact stability analysis; generalized S-procedure; linear matrix inequalities; parameter-dependent complex matrices; Asymptotic stability; Indium tin oxide; Linear matrix inequalities; Lyapunov method; Polynomials; Stability analysis; Sufficient conditions; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1430216

Filename

1430216