期刊
NEURAL NETWORKS
卷 55, 期 -, 页码 98-109出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2014.03.012
关键词
Hopfield neural networks; Stability; Fractional-order; Time delays; Hub structure; Ring structure
资金
- National Natural Science Foundation of China [11371049]
- Science Foundation of Beijing Jiaotong University [2014YJS132]
This paper investigates the stability for fractional-order Hopfield neural networks with time delays. Firstly, the fractional-order Hopfield neural networks with hub structure and time delays are studied. Some sufficient conditions for stability of the systems are obtained. Next, two fractional-order Hopfield neural networks with different ring structures and time delays are developed. By studying the developed neural networks, the corresponding sufficient conditions for stability of the systems are also derived. It is shown that the stability conditions are independent of time delays. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results obtained in this paper. (C) 2014 Elsevier Ltd. All rights reserved.
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