New criteria on exponential synchronization and existence of periodic solutions of complex BAM networks with delays

Volume 10, Issue 10, pp 5464--5482 http://dx.doi.org/10.22436/jnsa.010.10.29

Publication Date: October 28, 2017 Submission Date: October 21, 2016

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Authors

Chao Yang - Department of Mathematics and Computer Science, Changsha University, Changsha 410022, P. R. China. Lihong Huang - School of Mathematical and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, P. R. China.

Abstract

In this paper, we study a class of time-delayed BAM neural networks with discontinuous activations. Base on the framework of differential inclusion theory and set-valued analysis, by designing discontinuous feedback controller and using some analytic methods, easily verifiable delay-independent criteria are established to guarantee the existence of periodic solution and global exponential synchronization of the drive-response system. Finally, we give a numerical example to illustrate our theoretical analysis. The obtained results are essentially new and they extend previously known results.

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Keywords

• BAM neural networks
• time-delayed
• discontinuous activations
• periodic solution
• exponential synchronization

MSC

•  34D06
•  34C25
•  34A36

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