Title :
Equilibrium analysis of delayed CNNs
Author :
Arik, Sabri ; Tavsanoglu, Vedat
Author_Institution :
Sch. of Electr. Eng., South Bank Univ., London, UK
fDate :
2/1/1998 12:00:00 AM
Abstract :
The authors present two new results on the global stability of cellular neural networks with delay (DCCNs). First, a sufficient condition for the uniqueness and global asymptotic stability of the equilibrium point is given. Then, a sufficient condition for the existence of a stable equilibrium point in the total saturation region is obtained. The significance of the conditions is that the stability properties of the equilibrium point are not affected by the delay parameter. These conditions are also weaker than some previously given for global stability of DCNNs
Keywords :
asymptotic stability; cellular neural nets; delays; cellular neural networks; delay parameter; delayed CNNs; equilibrium analysis; global asymptotic stability; stability properties; stable equilibrium point; total saturation region; Asymptotic stability; Cellular neural networks; Circuits; Delay; Eigenvalues and eigenfunctions; Image converters; Image reconstruction; Output feedback; State feedback; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
