Title :
New Exponential Stability Criteria for Uncertain Time-Delay Systems Based on Integral Inequalities
Author :
Xue, Anke ; Chen, Yun ; Lu, Renquan ; Wang, Junhong
Author_Institution :
Hangzhou Dianzi Univ., Hangzhou
Abstract :
The delay-dependent exponential stability for uncertain time-delay systems is investigated based on two new integral inequalities in this paper. The uncertainties in system matrices are assumed to be norm-bounded. In terms of linear matrix inequalities (LMIs), newly sufficient stability conditions without involving model transformation and bounding techniques for cross terms are proposed. Two numerical examples are provided to show the effectiveness of our methods.
Keywords :
asymptotic stability; delay systems; integral equations; linear matrix inequalities; uncertain systems; LMI; bounding techniques; delay-dependent exponential stability criteria; integral inequalities; linear matrix inequalities; model transformation; system matrices; uncertain time-delay systems; Control systems; Cybernetics; Delay effects; Delay systems; Linear matrix inequalities; Robust stability; Stability criteria; Symmetric matrices; Uncertain systems; Uncertainty; Exponential Stability; Integral Inequality; LMI; Time-Delay Systems; Uncertain Systems;
Conference_Titel :
Industrial Electronics and Applications, 2007. ICIEA 2007. 2nd IEEE Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0737-8
Electronic_ISBN :
978-1-4244-0737-8
DOI :
10.1109/ICIEA.2007.4318944