College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China.
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China.
Neural Netw. 2018 Mar;99:101-113. doi: 10.1016/j.neunet.2017.12.011. Epub 2018 Jan 9.
This paper is devoted to the exponential synchronization, finite time synchronization, and fixed-time synchronization of Cohen-Grossberg neural networks (CGNNs) with discontinuous activations and time-varying delays. Discontinuous feedback controller and Novel adaptive feedback controller are designed to realize global exponential synchronization, finite time synchronization and fixed-time synchronization by adjusting the values of the parameters ω in the controller. Furthermore, the settling time of the fixed-time synchronization derived in this paper is less conservative and more accurate. Finally, some numerical examples are provided to show the effectiveness and flexibility of the results derived in this paper.
本文致力于研究具有不连续激活和时变时滞的 Cohen-Grossberg 神经网络 (CGNNs) 的指数同步、有限时间同步和固定时间同步。通过调整控制器中参数 ω 的值，设计不连续反馈控制器和新型自适应反馈控制器，实现全局指数同步、有限时间同步和固定时间同步。此外，本文推导的固定时间同步的稳定时间更保守、更准确。最后，通过一些数值实例验证了本文结果的有效性和灵活性。
