Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays

Xu-Yang Lou; Bao-Tong Cuia

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Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays

机译：具有时变时滞的高阶Hopfield型神经网络的新型全局稳定性准则

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This paper discusses a generalized model of high-order Hopfield-type neural networks with time-varying delays. Some novel global stability criteria of the system is derived by using Lyapunov method, linear matrix inequality (LMI) and analytic technique. The LMI-based criteria obtained here are computationally more flexible and more generic than many other existing criteria. A numerical example is given to illustrate our result.

机译：本文讨论了具有时变时滞的高阶Hopfield型神经网络的广义模型。利用Lyapunov方法，线性矩阵不等式（LMI）和解析技术，得出了系统的一些新的全局稳定性准则。与许多其他现有标准相比，此处获得的基于LMI的标准在计算上更灵活，更通用。数值例子说明了我们的结果。

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《Journal of Mathematical Analysis and Applications》 |2007年第1期|共15页
作者
Xu-Yang Lou; Bao-Tong Cuia;
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正文语种 eng
中图分类数学;
关键词
Stability; High-order Hopfield-type neural networks; Time-varying delays; Linear matrix inequality;

机译：稳定性;高阶Hopfield型神经网络;时变时滞;线性矩阵不等式;

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专利

1. Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays [J] . Xu-Yang Lou, Bao-Tong Cuia Journal of Mathematical Analysis and Applications . 2007,第1期

机译：具有时变时滞的高阶Hopfield型神经网络的新型全局稳定性准则
2. Global exponential stability of high-order Hopfield-type neural networks with S-type distributed time delays [J] . Yangfan Wang, Chunge Lu, Guangrong Ji, Communications in Nonlinear Science and Numerical Simulation . 2011,第8期

机译：具有S型分布时滞的高阶Hopfield型神经网络的全局指数稳定性
3. Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks [J] . Xiang H, Yan KM, Wang BY Physics Letters, A . 2006,第4a5期

机译：时滞高阶Hopfield型神经网络周期解的存在性和全局指数稳定性
4. Delay-dependent stability criteria for high-order Hopfield-type neural networks with time-varying delays and impulse [C] . Yan Ji, Liu Ximei, Hao Shengwu Chinese Control Conference . 2016

机译：具有时变时滞和脉冲的高阶Hopfield型神经网络的时滞相关稳定性准则
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

机译：具有时变时间延迟的内在稳定动态网络和交换网络的指数稳定性
6. New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components [O] . R. Manivannan, R. Samidurai, Jinde Cao, 2016

机译：具有连续时变时滞分量的中立型切换Hopfield神经网络的新的依赖于时间间隔的稳定性准则
7. Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays [O] . Lou Xu-Yang, Cui Bao-Tong 2007

机译：具有时变时滞的高阶Hopfield型神经网络的新型全局稳定性准则

Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays

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