Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
404468 | Neural Networks | 2010 | 12 Pages |
Abstract
In this paper, we investigate the neural networks with a class of nondecreasing piecewise linear activation functions with 2r2r corner points. It is proposed that the nn-neuron dynamical systems can have and only have (2r+1)n(2r+1)n equilibria under some conditions, of which (r+1)n(r+1)n are locally exponentially stable and others are unstable. Furthermore, the attraction basins of these stationary equilibria are estimated. In the case of n=2n=2, the precise attraction basin of each stable equilibrium point can be figured out, and their boundaries are composed of the stable manifolds of unstable equilibrium points. Simulations are also provided to illustrate the effectiveness of our results.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Lili Wang, Wenlian Lu, Tianping Chen,