Title :
Exponential stability of cellular neural networks with time-varying delay
Author :
Hua, Meng ; Yanhong, Wang ; Xuan, Lv ; Wu, Xue-li
Author_Institution :
Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
A novel method is proposed in this note for exponential stability of cellular neural networks with time-varying delay. New delay-dependent exponential stability conditions of cellular neural network with time-varying delay is presented by constructing Lyapunov function and using linear matrix inequality (LMI). Finally, a numerical example is given to demonstrate the effect of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delays; linear matrix inequalities; time-varying systems; Lyapunov function; cellular neural networks; delay-dependent exponential stability; linear matrix inequality; time-varying delay; Automation; Cellular neural networks; Delay effects; Image processing; Linear matrix inequalities; Lyapunov method; Stability criteria; State feedback; Sufficient conditions; Uncertainty; Exponential stability; LMI; Lyapunov functional; delayed cellular neural networks (DCNNs);
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5195209