Exponential synchronization in inertial Cohen-Grossberg neural networks with time delays

摘要

In this paper, the problem of exponential synchronization for inertial Cohen-Grossberg neural net-works with time delays is studied. According to the concept of synchronization, a controlled response system is constructed to obtain the error systems. First, by introducing a directive Lyapunov functional, a sufficient condition is derived to ascertain the exponential synchronization of the drive and response systems based on feedback control. Moreover, by introducing a variable substitution, a sufficient condition is obtained to ensure the global exponential synchronization for the systems. Two sufficient conditions are feasible for the global exponential synchronization of the drive and response systems, and complement each other. Finally, the parameters were set for numerical simulation, two illustrative examples are provided to show the effectiveness of the obtained theoretical results, and the validity of the model was proved. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.