A stability criterion for linear uncertain systems with multiple delays

Author

Ma, Xin-Jun ; Xu, Bugong ; Wang, Qing-Yang ; Peng, Da-Zhou

Author_Institution

Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China

Volume

3

fYear

2004

fDate

6-9 Dec. 2004

Firstpage

2010

Abstract

In this paper, a delay-independent sufficient condition for stability of linear uncertain systems with multiple delays is established. A new stability criterion is obtained based on the related theory of spectral radius and modulus matrix by the frequency domain method. The results are presented based on the assumption that system matrix A is a Hurwitz one and there is no requirement of a negative matrix measure. In comparison with the results in the literature, it is showed that the proposed method is less conservative.

Keywords

frequency-domain synthesis; linear systems; matrix algebra; stability criteria; uncertain systems; Hurwitz matrix; delay independent sufficient condition; frequency domain method; linear uncertain systems stability; modulus matrix; multiple delays; negative matrix measure; spectral radius theory; stability criterion; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Laboratories; Linear matrix inequalities; Space technology; Stability criteria; Uncertain systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th

Print_ISBN

0-7803-8653-1

Type

conf

DOI

10.1109/ICARCV.2004.1469471

Filename

1469471