Finite-Time and Fixed-Time Synchronization of Inertial Neural Networks with Mixed Delays

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.

Automated summary

This paper discusses the drive-response synchronization in inertial neural networks with mixed delays in finite-time and fixed-time. By constructing proper variable substitutions and Lyapunov functions, new and effective criteria for ensuring synchronization are obtained. The effectiveness of the results is demonstrated through three numerical examples provided at the end of the paper.