Finite-Time Synchronization and Exponential lag synchronization of quaternion-valued inertial fuzzy Cohen-Grossberg neural networks with impulsives and mixed delays

In this paper, some sufficient conditions are given in order to establish the finite time synchronization and the exponential lag synchronization of quaternion-valued inertial fuzzy Cohen-Grossberg neural networks (QVIFCGNNs). Hence, by creating a suitable Lyapunov functionals, Hamilton rules and applying inequality techniques, various types of synchronization are established for the considered model taking in account the various delays, the impulsive, and the fuzzy terms. Also a comparative study with other recent works is given. Finally, we illustrate the validity of the obtained results by a numerical example.