School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China.
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China.
ISA Trans. 2020 Apr;99:74-83. doi: 10.1016/j.isatra.2019.10.008. Epub 2019 Oct 29.
This paper investigates the synchronization issue of the memristive neural networks (MNNs) with inertial terms and reaction-diffusion items. In order to smoothly derive the controller gains and obtain an excellent control effect, the desired controller that contains a discontinuous function is proposed. Moreover, by constructing a novel Lyapunov-Krasovskii functional and combining the inequality techniques, several sufficient conditions in terms of algebraic inequalities are obtained to guarantee the synchronization of the proposed drive and response systems. Finally, three numerical simulations are exploited to support the acquired theoretical results.
本文研究了具有惯性项和时滞项的忆阻神经网络（MNNs）的同步问题。为了平滑地推导出控制器增益并获得良好的控制效果，提出了包含不连续函数的期望控制器。此外，通过构建一个新的 Lyapunov-Krasovskii 泛函，并结合不等式技术，得到了几个关于代数不等式的充分条件，以保证所提出的驱动和响应系统的同步。最后，通过三个数值模拟来支持所获得的理论结果。
