Quasi fixed-time synchronization of memristive Cohen-Grossberg neural networks with reaction-diffusion

Fangmin Ren a,b , Minghui Jiang a,b, , Hao Xu a,b ,

Mengqin Li  a,b

Abstract: This paper focuses on the quasi-fixed time synchronization of memristive Cohen-Grossberg neural

net-works with reaction diffusion. First, a new definition of finite/fixed-time attraction set and the concept of quasi finite/fixed-time synchronization are proposed. Then, a quasi fixed-time synchronized lemma is given and an example is used to illustrate the correctness of the lemma. At the same time, the new results given in this article are compared with the existing ones under certain conditions, and the conclusions of this paper are less conservative in remark. In addition, quasi fixed-time synchronization theorem and full synchronization theorem are derived by designing different controllers, finally two examples are given to illustrate the validity of these theorems.