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

The Journal of Nonlinear Sciences and its Applications

ChaoYang¹  LihongHuang² 

[1] Department of Mathematics and Computer Science, Changsha University, Changsha 410022, P. R. China;School of Mathematical and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, P. R. China

关键词: BAM neural networks;    time-delayed;    discontinuous activations;    periodic solution;    exponential synchronization;   

DOI  :  10.22436/jnsa.010.10.29

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

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.

【 授权许可】

Unknown