Existence and Exponential Stability of Multiple Periodic Solutions for a Multidirectional Associative Memory Neural Network |
| |
Authors: | Tiejun Zhou Min Wang Min Long |
| |
Affiliation: | 1. College of Science, Hunan Agricultural University, Changsha, Hunan, 410128, China 2. College of Orient Science and Technology, Hunan Agricultural University, Changsha, Hunan, 410128, China
|
| |
Abstract: | The paper proposes several mathematical models of the multidirectional associative memory (MAM) neural network by analyzing
its structure. A model of MAM with distributed delays is studied. Under some new assumptions on activation functions, 2n0m/2]{2^{n_0m/2]}} invariant subsets of MAM are constructed. Then the existence and the exponential stability of 2n0m/2]{2^{n_0m/2]}} periodic solutions located on invariant subsets are obtained by constructing a suitable Liapunov function and a Poincaré
mapping. An estimating method of the exponential convergence rate is given. The obtained results are new to MAM neural networks.
An example is given to illustrate the effectiveness of the results. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|