期刊
NEURAL NETWORKS
卷 89, 期 -, 页码 74-83出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2017.02.001
关键词
Fixed-time stability; Dynamical system; Fixed-time synchronization; Discontinuous neural network
资金
- National Natural Science Foundation of People's Republic of China [61563048, 11402223, 61473244]
- Specialized Research Fund for the Doctoral Program of Higher Education [20136501120001]
- Natural Science Foundation of Xinjiang University [BS130108]
- Qatar National Research Fund (Qatar Foundation) [NPRP 9 166-1-031]
In this paper, the fixed-time stability of dynamical systems and the fixed-time synchronization of coupled discontinuous neural networks are investigated under the framework of Filippov solution. Firstly, by means of reduction to absurdity, a theorem of fixed-time stability is established and a high-precision estimation of the settling-time is given. It is shown by theoretic proof that the estimation bound of the settling time given in this paper is less conservative and more accurate compared with the classical results. Besides, as an important application, the fixed-time synchronization of coupled neural networks with discontinuous activation functions is proposed. By designing a discontinuous control law and using the theory of differential inclusions, some new criteria are derived to ensure the fixed-time synchronization of the addressed coupled networks. Finally, two numerical examples are provided to show the effectiveness and validity of the theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.
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