Multiple finite-time synchronization and settling-time estimation of delayed competitive neural networks

Finite-time synchronization and its settling-time estimation has been a hot topic in fields of science and engineering. This paper proposes a unified control framework to study the multiple finite-time synchronization of delayed competitive neural networks (DCNNs). Firstly, a more comprehensive finite-time framework lemma is systematically established. Compared with existing finite-time control method, the proposed framework involves several kinds of synchronization results and it enhances the estimation of settling-time. Then, based on the control framework, the finite-time, fixed-time and preassigned-time synchronization of DCNNs can be achieved simultaneously by modifying the controller parameters. Finally, numerical example and image encryption application are presented to demonstrate the validity and superiority of the deduced results.