New finite-time synchronization of memristive Cohen–Grossberg neural network with reaction–diffusion term based on time-varying delay

Abstract

This paper focuses on the finite-time synchronization of memristive Cohen–Grossberg neural networks with time delays based on the reaction–diffusion term. Two new finite-time synchronous lemmas, Lemmas 2.3 and 2.4, have been obtained through some integration techniques. Since the proposal of Lemma 2.5 solves the $${X^\varphi }\left( {u\left( t \right) } \right) $$ problem in the denominator, and by designing two different controllers and inequality techniques, two finite-time synchronization theorems are finally obtained. Simulations are performed according to two examples to verify the validity of the results in this paper.