Fixed/preassigned-time non-chattering synchronization of nonlinear coupled Cohen-Grossberg neural networks via event-triggered control

Shuang Qing, Huamin Wang, Shiping Wen

Abstract: In this paper, the studies on fixed-time and preassigned-time synchronization for a kind of nonlinear coupled Cohen–Grossberg neural networks (CGNNs) are researched by event-triggered non-chattering control. Firstly, differing from some existed fixed-time synchronization control strategies, a power-law feedback controller without sign function is adopted to achieve non-chattering control effect. To save communication and computational resources, an event-triggered mechanism (ETM) is introduced, which can naturally avoid Zeno behavior. By designing preassigned time parameters as controller parameters, the preassigned-time synchronization of dynamic networks is studied. Then, based on the designed control mechanism, sufficient conditions for fixed-time and preassigned-time synchronization of the nonlinear coupled CGNNs are given. Finally, the validity and generality of the obtained results are verified by numerical simulation.