Journal
NEURAL NETWORKS
Volume 113, Issue -, Pages 1-10Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2019.01.014
Keywords
Memristor; Fixed-time synchronization; Quaternion; Time delays; Drive-response systems
Funding
- National Natural Science Foundation of China [61272530, 11072059]
- Innovation project for College Graduates of Jiangsu Province of China [KYCX18-0054]
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In this paper, a new type of neural networks, quaternion-valued memristive neural networks (QVMNNs) is formulated. On the basis of the differential inclusion principle and the Lyapunov functional method, fixed-time synchronization problem is considered in the form of drive-response system for this type of neural networks. A novel fixed-time controller is designed to achieve the control goal. With the fixed-time stability theory and some inequality techniques, criterion of fixed-time synchronization for QVMNNs is given. Finally, corresponding simulation results are presented to show the effectiveness of the method derived in this paper. (C) 2019 Elsevier Ltd. All rights reserved.
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