A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays

Author

Lee, Chien-Hua ; Li, Tzuu-Hseng S. ; Kung, Fan-Chu

Author_Institution

Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

Volume

40

Issue

9

fYear

1993

fDate

9/1/1993 12:00:00 AM

Firstpage

605

Lastpage

608

Abstract

In this paper, based on the Lyapunov stability theorem, matrix measure, and norm inequalities, a new approach for the robust stability of perturbed systems with a class of noncommensurate time delays is presented. Two classes of linear parametric perturbations are treated: (1) unstructured; and (2) highly structured perturbations. Several concise sufficient conditions, delay-dependent or delay-independent, are proposed to guarantee the asymptotic stability and positive stability degree of the perturbed multiple time-delay systems. Finally, two numerical examples are given to demonstrate the applications of these quantitative results

Keywords

Lyapunov methods; control system analysis; delays; distributed parameter systems; matrix algebra; perturbation techniques; stability; Lyapunov stability theorem; asymptotic stability; delay-dependent; delay-independent; linear parametric perturbations; matrix measure; multiple time-delay systems; noncommensurate time delays; norm inequalities; perturbed multiple time-delay systems; perturbed systems; positive stability degree; robust stability; Asymptotic stability; Delay effects; Equations; Linear matrix inequalities; Lyapunov method; Matrix converters; Robust stability; Sufficient conditions; System testing; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.244910

Filename

244910