Journal
NEURAL NETWORKS
Volume 102, Issue -, Pages 138-148Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2018.03.001
Keywords
Synchronization; Inertial memristive neural network; Time-varying delay; Nonlinear controller
Funding
- National Natural Science Foundation of China [61573003]
- Doctor Program Foundation of Chinese Ministry of Education [20050532002]
- NPRP from the Qatar National Research Fund (a member of Qatar Foundation) [NPRP 8-274-2-107]
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The paper is concerned with the synchronization problem of inertial memristive neural networks with time-varying delay. First, by choosing a proper variable substitution, inertial memristive neural networks described by second-order differential equations can be transformed into first-order differential equations. Then, a novel controller with a linear diffusive term and discontinuous sign term is designed. By using the controller, the sufficient conditions for assuring the global exponential synchronization of the derive and response neural networks are derived based on Lyapunov stability theory and some inequality techniques. Finally, several numerical simulations are provided to substantiate the effectiveness of the theoretical results. (c) 2018 Elsevier Ltd. All rights reserved.
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