Title :
Stability of Delayed Reaction-Diffusion High-Order Cohen-Grossberg Neural Networks with Variable Coefficient
Author :
Yan, Ping ; Lv, Teng
Author_Institution :
Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi
Abstract :
In this paper, we study reaction-diffusion high-order Cohen-Grossberg neural networks with delays and variable coefficient. Under the Dirichlet boundary condition, by using topology degree theory and constructing Lyapunov functional method, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. Finally, a numerical example is given to verify the theoretical analysis.
Keywords :
Lyapunov methods; asymptotic stability; boundary-value problems; delays; neural nets; reaction-diffusion systems; topology; Dirichlet boundary condition; Lyapunov functional method; delayed reaction-diffusion high-order Cohen-Grossberg neural network; global exponential stability; topology degree theory; variable coefficient; Computer networks; Convergence; Delay effects; Information technology; Intelligent networks; Network topology; Neural networks; Neurons; Stability; Sufficient conditions; Cohen-Grossberg neural networks; Dirichlet boundary condition; Lyapunov functional; reaction-diffusion;
Conference_Titel :
Intelligent Information Technology Application, 2008. IITA '08. Second International Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-0-7695-3497-8
DOI :
10.1109/IITA.2008.19
