Abstract
In this paper, the matters of dissipativity and synchronization for non-autonomous Hopfield neural networks with discontinuous activations are investigated. Firstly, under the framework of extending Filippov differential inclusion theory, several effective new criteria are derived. The global dissipativity of Filippov solution to neural networks is proved by using generalized Halanay inequality and matrix measure method. Secondly, the global exponential synchronization of the addressed network drive system and the response system is realized by utilizing inequality and some analysis techniques and designing the discontinuous state feedback controller. Finally, several numerical examples are given to verify the validity of the theoretical results.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 61374028, 61304162
Acknowledgments
The authors would like to appreciate the editor and the anonymous reviewers for their valuable comments and insightful advice, which has helped improve the quality of this paper. Supported by National Natural Science Foundation of China (Grant No.61374028 and No.61304162).
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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