Title :
Stability of Delayed Cohen-Grossberg Neural Networks with Dirichlet Boundary Conditions
Author_Institution :
Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi
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;
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
DOI :
10.1109/IWISA.2009.5073117
