Title :
Complete stability of cellular neural networks with time-varying delays
Author :
Zeng, Zhigang ; Wang, Jun
Author_Institution :
Dept. of Autom. & Comput.-Aided Eng., Chinese Univ. of Hong Kong, China
fDate :
4/1/2006 12:00:00 AM
Abstract :
In this paper, the complete stability of cellular neural networks with time-varying delays is analyzed using the induction method and the contraction mapping principle. Delay-dependent and delay-independent conditions are obtained for locally stable equilibrium points to be located anywhere, which differ from the existing results on complete stability where the existence of equilibrium points in the saturation region is necessary for complete stability and locally stable equilibrium points can be in the saturation region only. In addition, some existing stability results in the literature are special cases of a new result herein. Simulation results are also discussed by use of two illustrative examples.
Keywords :
cellular neural nets; circuit stability; delay circuits; time-varying networks; cellular neural network; complete stability; contraction mapping; induction method; time-varying delay; Automation; Cellular neural networks; Delay; Information processing; Lyapunov method; Neural networks; Neurodynamics; Stability analysis; Stationary state; Sufficient conditions; Cellular neural networks (CNNs); complete stability; contraction mapping principle; mathematical induction; time-varying delays;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2005.859616
