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

Volume

53

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

944

Lastpage

955

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;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2005.859616

Filename

1618881