University of Hertfordshire

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Original languageEnglish
Article numberTSMC.2020.2997930
Number of pages15
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Early online date10 Jun 2020
Publication statusE-pub ahead of print - 10 Jun 2020


Currently, some works on studying complete synchronization of dynamical systems are usually restricted to its two special cases: 1) power-rate synchronization and 2) exponential synchronization. Therefore, how to give a generalization of these types of complete synchronization by the mathematical expression is an open question that needs to be urgently solved. To begin with, this article proposes multimode function synchronization by the mathematical expression for the first time, which is a generalization of exponential synchronization, power-rate synchronization, logarithmical synchronization, and so on. Moreover, two adaptive controllers are designed to achieve robust multimode function synchronization of memristive neural networks (MNNs) with mismatched parameters and uncertain parameters. Each adaptive controller includes function r(t) and update gain σ. By choosing different types of r(t), multiple types of complete synchronization, including power-rate synchronization and exponential synchronization can be obtained. And update gain σ can be used to adjust the speed of synchronization. Therefore, our results enlarge and strengthen the existing results. Two examples are put forward to verify the validity of our results.


Publisher Copyright: IEEE Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

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