Title :
On exponential stability of integral delay systems
Author :
Zhao-Yan Li ; Bin Zhou ; Zongli Lin
Author_Institution :
Dept. of Math., Harbin Inst. of Technol., Harbin, China
Abstract :
This paper deals with exponential stability of some classes of integral delay systems with a prescribed decay rate. By carefully exploring the literature on this topic, a delay decomposition approach is established to reduce the conservatism in the existing sufficient conditions by constructing new Lyapunov-Krasovskii functionals. It is proven that the proposed sufficient conditions are always less conservative than the existing ones. Numerical examples illustrate the effectiveness of the proposed approaches.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; Lyapunov-Krasovskii functional; decay rate; delay decomposition approach; exponential stability; integral delay system; sufficient condition; Control theory; Delay systems; Delays; Linear matrix inequalities; Stability analysis; Symmetric matrices;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6579831
