New Exponential Estimates for Time-Delay Systems

Author

Xu, Shengyuan ; Lam, James ; Zhong, Maiying

Author_Institution

Dept. of Autom., Nanjing Univ. of Sci. & Technol.

Volume

51

Issue

9

fYear

2006

Firstpage

1501

Lastpage

1505

Abstract

This note considers the problem of exponential stability for time-delay systems. In terms of linear matrix inequalities, a new sufficient condition for exponential stability is obtained. Based on this, an improved upper bound of the decay rate can be easily calculated. When time-varying norm-bounded parameter uncertainties appear, a new sufficient condition for robust exponential stability of uncertain time-delay systems is also provided. The reduced conservatism of the proposed conditions is illustrated via two numerical examples

Keywords

asymptotic stability; delay systems; linear matrix inequalities; robust control; uncertain systems; exponential estimates; linear matrix inequalities; norm-bounded parameter uncertainties; robust exponential stability; uncertain time-delay system; Asymptotic stability; Delay estimation; Delay systems; Linear matrix inequalities; Robust stability; Sufficient conditions; Symmetric matrices; Time varying systems; Uncertain systems; Upper bound; Exponential stability; linear matrix inequality (LMI); time-delay systems; uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.880783

Filename

1695990