Synchronization control of a class of memristor-based recurrent neural networks

Authors:
Ailong Wu;Shiping Wen;Zhigang Zeng
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China and Key Laboratory of Image Processing and Intelligent Control of Education Minist ...;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China and Key Laboratory of Image Processing and Intelligent Control of Education Minist ...;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China and Key Laboratory of Image Processing and Intelligent Control of Education Minist ...
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

In this paper, we formulate and investigate a class of memristor-based recurrent neural networks. Some sufficient conditions are obtained to guarantee the exponential synchronization of the coupled networks based on drive-response concept, differential inclusions theory and Lyapunov functional method. The analysis in the paper employs results from the theory of differential equations with discontinuous right-hand side as introduced by Filippov. Finally, the validity of the obtained result is illustrated by a numerical example.