Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6864392 | Neurocomputing | 2018 | 10 Pages |
Abstract
This paper discusses the multistability in Mittag-Leffler sense of fractional-order neural networks with piecewise constant arguments. According to the boundedness of activation functions and the model of fractional-order neural networks with piecewise constant arguments, n pairs of bounded functions are constructed. On the basis of the sign of the n pairs of bounded functions, the n-dimensional state space is divided into âi=1n(2Li+1) regions. Sufficient conditions are derived to ensure that there exists at leat one equilibrium point in each one of these regions. In addition, âi=1n(Li+1) equilibrium points are locally Mittag-Leffler stable. Two numerical examples are provided to demonstrate the validity of the theoretical results.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Liguang Wan, Ailong Wu,