Title :
A new method to exponential stability of the Cohen-Grossberg model
Author :
Xiao, Shengzhong
Author_Institution :
Guangdong Agric. Ind. Bus. Coll., Guangzhou
Abstract :
The exponential stability of the Cohen-Grossberg biological model is investigated by introducing generalized nonlinear measure in this paper. with this new approach, sufficient conditions for existence and unique of the equilibrium and exponential stability of the model are presented. meanwhile, the exponential convergence rate to stable equilibrium point is estimated, and the attraction region of local stable equilibrium point is also characterized.
Keywords :
asymptotic stability; convergence; neural nets; Cohen-Grossberg biological model; exponential convergence rate; exponential stability; neural networks; Agriculture; Automation; Biological system modeling; Educational institutions; Industrial control; Intelligent control; Lyapunov method; Neural networks; Stability analysis; Sufficient conditions; Neural network; exponential stability; nonlinear measure;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4593172
