Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks

Some sufficient conditions to ensure the existence, uniqueness and global exponential stability of the equilibrium point of cellular neural networks with variable delays are derived. These results extend and improve the existing ones in the literature. Two illustrative examples are given to demonstrate the effectiveness of our results.

Download Full-text

Global Exponential Stability Analysis of Delayed Cellular Neural Networks

2005 IEEE International Symposium on Circuits and Systems ◽

10.1109/iscas.2005.1465673 ◽

2005 ◽

Author(s):

S. Senan ◽

S. Arik

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Cellular Neural Networks

Download Full-text

Mean square exponential stability analysis of stochastic cellular neural networks

Journal of Physics Conference Series ◽

10.1088/1742-6596/96/1/012132 ◽

2008 ◽

Vol 96 ◽

pp. 012132

Author(s):

C-X Huang ◽

Y-G He ◽

L-H Huang ◽

W Tan

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Cellular Neural Networks ◽

Mean Square ◽

Mean Square Exponential Stability

Download Full-text

Global Exponential Stability Analysis in Cellular Neural Networks with Time-Varying Coefficients and Delays

Computational Intelligence and Bioinspired Systems - Lecture Notes in Computer Science ◽

10.1007/11494669_46 ◽

2005 ◽

pp. 374-381

Author(s):

Qiang Zhang ◽

Dongsheng Zhou ◽

Xiaopeng Wei ◽

Jin Xu

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Cellular Neural Networks ◽

Time Varying ◽

Varying Coefficients ◽

Time Varying Coefficients

Download Full-text

Global exponential stability analysis for cellular neural networks with variable coefficients and delays

Neural Computing and Applications ◽

10.1007/s00521-007-0121-y ◽

2007 ◽

Vol 17 (3) ◽

pp. 291-295 ◽

Cited By ~ 10

Author(s):

Yonggui Kao ◽

Cunchen Gao

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Cellular Neural Networks ◽

Variable Coefficients

Download Full-text

Delay-dependent exponential stability analysis of delayed cellular neural networks

IEEE 2002 International Conference on Communications, Circuits and Systems and West Sino Expositions ◽

10.1109/icccas.2002.1179095 ◽

2003 ◽

Cited By ~ 16

Author(s):

Xiaofeng Liao ◽

Juebang YU ◽

Guanrong Chen

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Cellular Neural Networks ◽

Delay Dependent

Download Full-text

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

International Journal of Applied Mathematics and Computer Science ◽

10.2478/v10006-011-0051-9 ◽

2011 ◽

Vol 21 (4) ◽

pp. 649-658 ◽

Cited By ~ 6

Author(s):

Qianhong Zhang ◽

Lihui Yang ◽

Daixi Liao

Keyword(s):

Neural Networks ◽

Periodic Solution ◽

Exponential Stability ◽

Differential Inequality ◽

Sufficient Conditions ◽

Coincidence Degree ◽

Cellular Neural Networks ◽

Time Varying ◽

Fuzzy Cellular Neural Networks ◽

Inequality Technique

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.

Download Full-text