论文信息 - Equilibrium analysis of delayed CNNs

Equilibrium analysis of delayed CNNs

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.

S. Arik | V. Tavsanoglu

[1] Brian D. O. Anderson,et al. Insensitivity of a class of nonlinear compartmental systems to the introduction of arbitrary time delays , 1980 .

[2] J. Farrell,et al. Qualitative analysis of neural networks , 1989 .

[3] Tamás Roska,et al. Cellular neural networks with nonlinear and delay-type template elements , 1990, IEEE International Workshop on Cellular Neural Networks and their Applications.

[4] Leon O. Chua,et al. Stability of cellular neural networks with dominant nonlinear and delay-type templates. (Memo UCB/ERL No. M92/121.) , 1993 .

[5] Leon O. Chua,et al. Stability and dynamics of delay-type general and cellular neural networks , 1992 .

[6] L. Pandolfi,et al. On stability of cellular neural networks with delay , 1993 .

[7] Robert J. Plemmons,et al. Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[8] Vedat Tavsanoglu,et al. Equilibrium analysis of non-symmetric CNNs† , 1996 .