Title :
Improved global asymptotically stability of cellular neural networks with time-varying delay
Author :
Du, Wenxia ; Wu, Xueli
Author_Institution :
Hebei Normal Univ., Shijiazhuang, China
Abstract :
Time-delay is frequently encountered in neural networks, and it is often a source of instability and oscillations in a system. It is very important to research the stability of delayed neural network. In this paper, the global asymptotically stability of cellular neural network with time-varying is investigated. By introducing appropriate Lyapunov functional, new sufficient condition are obtained to ensuring the global asymptotically stability of neural network with time-varying delay. Finally, a numerical example is given to demonstrate the effect of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; combinatorial mathematics; delays; optimisation; time-varying systems; Lyapunov function; cellular neural networks; delayed neural network; global asymptotically stability improvement; time-varying delay; Artificial neural networks; Asymptotic stability; Cellular neural networks; Delay; Numerical stability; Stability criteria; LMI; Lyapunov functional; delayed cellular neural networks (DCNNs); global asymptotically stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968780