Journal
NEURAL NETWORKS
Volume 94, Issue -, Pages 46-54Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2017.06.011
Keywords
Fractional-order neural networks; Global Mittag-Leffler synchronization; Synchronization in finite-time; Discontinuous activation function; Time delays
Funding
- National Natural Science Foundation of China [61573306]
- High level talent support project of Hebei province of China [C2015003054]
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This paper is concerned with the global Mittag-Leffler synchronization and the synchronization in finite time for fractional-order neural networks (FNNs) with discontinuous activations and time delays. Firstly, the properties with respect to Mittag-Leffler convergence and convergence in finite time, which play a critical role in the investigation of the global synchronization of FNNs, are developed, respectively. Secondly, the novel state-feedback controller, which includes time delays and discontinuous factors, is designed to realize the synchronization goal. By applying the fractional differential inclusion theory, inequality analysis technique and the proposed convergence properties, the sufficient conditions to achieve the global Mittag-Leffler synchronization and the synchronization in finite time are addressed in terms of linear matrix inequalities (LMIs). In addition, the upper bound of the setting time of the global synchronization in finite time is explicitly evaluated. Finally, two examples are given to demonstrate the validity of the proposed design method and theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.
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