Title :
Delay-dependent asymptotic stability of cellular neural networks with time varying delay
Author :
Jianhua, Zhang ; Huiguang, Li ; Xinping, Guan ; Xueli, Wu
Author_Institution :
Inst. of Electr. Eng., Yanshan Univ., Qinhuangdao
Abstract :
In this note, the global asymptotic stability of a class of delayed cellular neural networks is studied. Some new sufficient conditions are presented for the uniqueness of equilibrium point and the global stability of cellular neural networks with time varying delay by constructing Lyapunov functional and using linear matrix inequality (LMI). A numerical example is presented to illustrate the effectiveness of our theoretical results.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delays; linear matrix inequalities; time-varying systems; Lyapunov functional; cellular neural networks; delay-dependent asymptotic stability; global asymptotic stability; linear matrix inequality; time varying delay; Asymptotic stability; Automation; Cellular neural networks; Delay effects; Educational institutions; Equations; Intelligent control; Linear matrix inequalities; Neural networks; Sufficient conditions; Neural networks; stability; time delay;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4593384