New criteria on exponential synchronization and existence of periodic solutions of complex BAM networks with delays
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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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ISRP Style
Chao Yang, Lihong Huang, New criteria on exponential synchronization and existence of periodic solutions of complex BAM networks with delays, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5464--5482
AMA Style
Yang Chao, Huang Lihong, New criteria on exponential synchronization and existence of periodic solutions of complex BAM networks with delays. J. Nonlinear Sci. Appl. (2017); 10(10):5464--5482
Chicago/Turabian Style
Yang, Chao, Huang, Lihong. "New criteria on exponential synchronization and existence of periodic solutions of complex BAM networks with delays." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5464--5482
Keywords
- BAM neural networks
- time-delayed
- discontinuous activations
- periodic solution
- exponential synchronization
MSC
References
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