DocumentCode
2044544
Title
Stability of Delayed Cohen-Grossberg Neural Networks with Dirichlet Boundary Conditions
Author
Yan, Ping
Author_Institution
Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi
fYear
2009
fDate
23-24 May 2009
Firstpage
1
Lastpage
4
Abstract
In this paper, we study reaction-diffusion Cohen-Grossberg neural networks with Dirichlet boundary conditions and distributed delays. By using topology degree theory and constructing suitable Lyapunov functional, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. Finally, an example is given to verify the theoretical analysis.
Keywords
Lyapunov methods; asymptotic stability; delays; differential equations; neural nets; reaction-diffusion systems; Dirichlet boundary conditions; Lyapunov functional; delayed Cohen-Grossberg neural networks stability; exponential stability; reaction-diffusion Cohen-Grossberg neural networks; Boundary conditions; Delay; Educational institutions; Joining processes; Mathematics; Network topology; Neural networks; Neurons; Stability; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Systems and Applications, 2009. ISA 2009. International Workshop on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-3893-8
Electronic_ISBN
978-1-4244-3894-5
Type
conf
DOI
10.1109/IWISA.2009.5073117
Filename
5073117
Link To Document