Fixed Time Synchronization of Competitive Neural Networks With Destabilizing Impulsive Effects

This article is concerned with the fixed-time synchronization of the competitive neural networks with impulsive effects. First, a new criteria is derived to achieve the fixed-time stability of dynamical system under destabilizing impulsive effects by using the average impulsive concept and Lyapunov function. Then, two different controllers were set up for the fixed-time synchronization of a class of competitive neural networks. It is worth mentioning that the designed second controller does not contain sign function, which overcomes the chattering phenomenon compared to the conventional controller with sign function. Finally, two numerical examples are given to illustrate the validity of our theoretical results.