Title :
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
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;
Conference_Titel :
Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th
Print_ISBN :
0-7803-8653-1
DOI :
10.1109/ICARCV.2004.1469471
