Stability of linear systems with delayed perturbations: an LMI approach

Author

Ni, Mao-Lin ; Er, Meng Joo

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore

Volume

49

Issue

1

fYear

2002

fDate

1/1/2002 12:00:00 AM

Firstpage

108

Lastpage

112

Abstract

For a class of linear systems with time-varying perturbations in the time-delayed state, this paper presents a couple of new sufficient conditions for guaranteeing asymptotic stability. Since these conditions can be expressed as linear matrix inequalities (LMIs), the corresponding LMI-based algorithms for determining stability bounds are derived. Furthermore, we extend these results to linear systems with multiple time-varying perturbations in time-delayed states and those with structured time-varying perturbations in time-delayed states. Compared with existing results, our methods are shown to be superior. Numerical examples are given to demonstrate the effectiveness of the proposed approaches

Keywords

asymptotic stability; delays; linear systems; matrix algebra; perturbation techniques; time-varying systems; LMI; LMI-based algorithms; asymptotic stability; delayed perturbations; linear matrix inequalities; linear system stability; linear systems; multiple time-varying perturbations; stability bounds; structured time-varying perturbations; time-delayed state; time-varying perturbations; Admittance; Analog integrated circuits; Circuit faults; Circuits and systems; Delay lines; Delay systems; Electrical fault detection; Feedback circuits; Linear systems; Stability;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.989065

Filename

989065