Global stability analysis in CohenGrossberg neural networks with delays and inverse Hlder neuron activation functions ?
In this paper, a novel class of CohenGrossberg neural networks with delays and inverse Hlder neuron activation functions are presented. By using the topological degree theory and linear matrix inequality (LMI) technique, the existence and uniqueness of equilibrium point for such CohenGrossberg neural networks is investigated. By constructing appropriate Lyapunov function, a sufficient condition which ensures the global exponential stability of the equilibrium point is established. Two numerical examples are provided to demonstrate the effectiveness of the theoretical results.
neural networks topological degree global exponential stability cohengrossberg model inverse hlder functions