Abstract
This paper is devoted to study synchronization in finite time for coupled Cohen-Grossberg neural networks (CGNNs) with mixed time delays (both time-varying discrete delay and infinite distributed delay). By designing simple but effective controllers, constructing Lyapunov-Krasovskii functional candidates, and using inequality techniques, some new criteria are obtained to ensure finite-time synchronization of the addressed coupled CGNNs. Moreover, the upper bounds of the finite-time synchronization, i.e., settling time, for the considered networks are estimated. In addition, the effects of known or unknown time delays are seriously considered, respectively, which lead to different design of state feedback controllers. Finally, two examples are presented to show the advantage and effectiveness of our proposed finite-time controllers.
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