General decay synchronization of delayed BAM neural networks with reaction–diffusion terms

Advances in Difference Equations

article

Mahemuti, Rouzimaimaiti¹  Halik, Azhar¹  Abdurahman, Abdujelil¹ 

[1] College of Mathematics and System Sciences, Xinjiang University

关键词: BAM neural network;    General decay synchronization;    Reaction–diffusion terms;    Time-delay;   

DOI  :  10.1186/s13662-020-02906-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, general decay synchronization of delayed bidirectional associative memory neural networks with reaction–diffusion terms is studied. First, a useful lemma is introduced to determine the general decay synchronization of considered systems. Furthermore, a type of nonlinear controller is designed. Then, some sufficient conditions are obtained to insure the general decay synchronization of the drive–response systems via using Lyapunov functional method and Poincaré inequality. Finally, the obtained theoretical results are evaluated by giving one numerical example. The exponential synchronization, polynomial synchronization, and some other types of synchronization can be seen as special cases of the general decay synchronization.

【 授权许可】

CC BY