期刊
NEURAL NETWORKS
卷 128, 期 -, 页码 288-293出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2020.05.014
关键词
Hopfield neural networks; Exponential stability; xi-norm; Discrete-distributed delays
资金
- National Natural Science Foundation of China [U1804158, 61673187]
- Program for Science and Technology Innovation Talents in Universities of Henan Province, China [20HASTIT023]
- Science and Technology Development Program of Henan Province, China [172102210407]
- IRTSTHN, China [18IRTSTHN014]
- Qatar National Research Fund (a member of Qatar Foundation) [NPRP 8-2-74-2107]
In this paper, the existence, uniqueness and stability criteria of solutions for Hopfield neural networks with discrete and distributed delays (DDD HNNs) are investigated by the definitions of three kinds of generalized norm (xi-norm). A general DDD HNN model is firstly introduced, where the discrete delays tau(pq)(t) are asynchronous time-varying delays. Then, {xi, 1}-norm, {xi, 2}-norm and {xi, infinity}-norm are successively used to derive the existence, uniqueness and stability criteria of solutions for the DDD HNNs. In the proof of theorems, special functions and assumptions are given to deal with discrete and distributed delays. Furthermore, a corollary is concluded for the existence and stability criteria of solutions. The methods given in this paper can also be used to study the synchronization and mu-stability of different DDD NNs. Finally, two numerical examples and their simulation figures are given to illustrate the effectiveness of these results. (C) 2020 Elsevier Ltd. All rights reserved.
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