Title :
Novel delay-dependent robust stability for uncertain neural networks with time-varying delay
Author :
Yonggang, Chen ; Weiping, Bi
Author_Institution :
Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang
Abstract :
This paper considers the delay-dependent robust asymptotic stability for a class of neural networks with parametric uncertainties and time-varying delay. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the derivative of Lyapunov functional, the less conservative stability criteria are derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the effectiveness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; uncertain systems; Lyapunov functional method; asymptotic stability; delay-dependent robust stability; linear matrix inequalities; parametric uncertainty; stability criteria; time-varying delay; uncertain neural networks; Asymptotic stability; Delay effects; Linear matrix inequalities; Mathematics; Neural networks; Robust stability; Stability criteria; Symmetric matrices; Uncertainty; Upper bound; Linear matrix inequalities (LMIs); Neural networks; Robust asymptotic stability; Time-varying delay;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4597414
