Title :
Exponential Stability for Cellular Neural Networks with Delay
Author :
Yang, Jinxiang ; Zhong, Shouming ; Liu, Xingwen
Author_Institution :
Southwest Univ. for Nat., Chengdu
Abstract :
This paper investigates the exponential stability of a class of delayed cellular neural networks (DCNN´s). By means of appropriately dividing the network state variables into several subgroups, the new sufficient exponential stability condition is derived by constructing Liapunov functional and using the method of the variation of constant. The condition suitable is associated with some initial values and is represented only by some blocks of the interconnection matrix. An example is discussed to illustrate the results.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delays; matrix algebra; DCNN; Liapunov function; delayed cellular neural network; exponential stability; interconnection matrix; network state variable; Cellular neural networks; Computer science; Delay; Educational institutions; Integrated circuit interconnections; Mathematics; Stability; State feedback; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Electronics, Circuits and Systems, 2006. ICECS '06. 13th IEEE International Conference on
Conference_Location :
Nice
Print_ISBN :
1-4244-0395-2
Electronic_ISBN :
1-4244-0395-2
DOI :
10.1109/ICECS.2006.379942