Finite-time synchronization problem of a class of discontinuous Cohen–Grossberg neural networks with mixed delays via new switching design

Advances in Difference Equations

Zhaohong Xiang¹  Runjie Li² 

[1] Department of Mathematics and Computer Science, Changsha University;Science and Technology Management Services of Hunan Torch Entrepreneurship Center;

关键词: Finite-time synchronization;    Cohen–Grossberg neural networks;    Discontinuous activations;    Mixed delays;   

DOI  :  10.1186/s13662-021-03542-2

来源: DOAJ

【 摘 要 】

Abstract This paper investigates a class of generalized Cohen–Grossberg neural networks (CGNNs) with discontinuous activations and mixed delays. Based on the nonsmooth analysis theory, the drive-response concept, differential inclusions theory, we give several basic assumptions to gain the finite-time synchronization issue of CGNNs. Sufficient conditions are provided without the boundedness or monotonicity of discontinuous activation functions. Moreover, one can estimate the settling time’s upper bounds of the system. At last, two numerical examples and their simulations are given to further show the benefits of the obtained control approach.

【 授权许可】

Unknown