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This paper considers the drive-response synchronization in finite-time and fixed-time of inertial neural networks with time-varying and distributed delays (mixed delays). First, by constructing a proper variable substitution, the original inertial neural networks can be rewritten as a first-order differential system. Second, by constructing Lyapunov functions and using differential inequalities, some new and effective criteria are obtained for ensuring the finite-time synchronization. Finally, three numerical examples are also given at the end of this paper to show the effectiveness of the results.

This paper focuses on the finite-time synchronization for a class of fuzzy inertial cellular neural networks (FICNNs) with time-varying delays. First, by constructing a proper variable substitution, the original FICNNs with time-varying delays can be rewritten as first-order differential system. Second, based on Lyapunov functionals, we derive some new and sufficient conditions of finite-time synchronization for the addressed system. We illustrate the effectiveness of the approach through a few examples.