Finite-Time Passivity of Coupled Neural Networks with Multiple Weights

This paper respectively studies finite-time passivity of multi-weighted coupled neural networks (MWCNNs) with and without coupling delays. First, based on those existing passivity definitions, several new concepts about finite-time passivity are presented. By exploiting these definitions of finite-time passivity and designing appropriate controllers, we investigate the passivity of MWCNNs with and without coupling delays. In addition, some sufficient conditions to guarantee finite-time synchronization of MWCNNs with constant and delayed couplings are obtained under the condition that the MWCNNs is finite-time passive. Finally, two examples are also given to verify the proposed finite-time passivity and synchronization criteria.