Title :
A new sufficient condition for complete stability of cellular neural networks with delay
Author :
Takahashi, Norikazu
Author_Institution :
Dept. of Inf., Kyushu Univ., Fukuoka, Japan
fDate :
6/1/2000 12:00:00 AM
Abstract :
This paper gives a new sufficient condition for cellular neural networks with delay (DCNNs) to be completely stable. A fixed-point theorem and a convergence theorem of the Gauss-Seidel method play important roles in the proof, while most conventional stability criteria were obtained by constructing Lyapunov functionals
Keywords :
Lyapunov methods; cellular neural nets; convergence of numerical methods; delays; stability; stability criteria; Gauss-Seidel method; Lyapunov functionals; cellular neural networks; complete stability; convergence theorem; delay; fixed-point theorem; stability criteria; Cellular neural networks; Convergence; Delay; Equations; Gaussian processes; Image processing; Neural networks; Stability criteria; Sufficient conditions; Symmetric matrices;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on