Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays

In this paper, the synchronization of Cohen-Grossberg neural networks with proportional delays is investigated. Firstly, the asymptotical synchronization is proposed by designing a simple linear feedback controller, and some delay-independent and delay-dependent criteria are derived based on variable transformation, reduction to absurdity and Lyapunov functional theory. In addition, an adaptive control strategy is designed to reduce the control cost and the adaptive synchronization is investigated by means of Barbalat lemma. Finally, two numerical examples are given to show the validity and effectiveness of the theoretical results. (C) 2017 Elsevier B.V. All rights reserved.