Article ID Journal Published Year Pages File Type
838426 Nonlinear Analysis: Real World Applications 2009 10 Pages PDF
Abstract

This paper introduces a new class of functions called inverse Lipschitz functions (ILIL). By using ILIL, a novel class of neural networks with inverse Lipschitz neuron activation functions is presented. By the topological degree theory and matrix inequality techniques, the existence and uniqueness of equilibrium point for the neural network are investigated. By constructing appropriate Lyapunov functions, a sufficient condition ensuring global exponential stability of the neural network is given. At last, two numerical examples are given to demonstrate the effectiveness of the results obtained in this paper.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,