New Sufficient Conditions for Global Robust Stability of Delayed Neural Networks

Qi H.

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New Sufficient Conditions for Global Robust Stability of Delayed Neural Networks

机译：时滞神经网络的全局鲁棒稳定性的新充分条件

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In this paper, we continue to explore application of nonsmooth analysis to the study of global asymptotic robust stability (GARS) of delayed neural networks. In combination with Lyapunov theory, our approach gives several new types of sufficient conditions ensuring GARS. A significant common aspect of our results is their low computational complexity. It is demonstrated that the reported results can be verified either by conducting spectral decompositions of symmetric matrices associated with the uncertainty sets of network parameters, or by solving a semidefinite programming problem. Nontrivial examples are constructed to compare with some closely related existing results

机译：在本文中，我们将继续探索非光滑分析在延迟神经网络的全局渐近鲁棒稳定性（GARS）研究中的应用。结合李雅普诺夫理论，我们的方法给出了确保GARS的几种新型充分条件。我们的结果的一个重要的共同点是计算复杂度低。结果表明，所报告的结果可以通过对与网络参数的不确定性集合相关的对称矩阵进行光谱分解或解决半定规划问题来验证。构建非平凡的示例以与一些紧密相关的现有结果进行比较

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《IEEE Transactions on Circuits and Systems. I, Regular Papers》 |2007年第5期|p.1131-1141|共11页
作者
Qi H.;
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正文语种 eng
中图分类 TN71;
关键词
Lyapunov methods; asymptotic stability; computational complexity; neural nets; Lyapunov function; computational complexity; delayed neural networks; equilibrium point; global asymptotic robust stability; Delayed neural networks; Lyapunov function; equilibrium point;

机译：Lyapunov方法;渐近稳定性;计算复杂度;神经网络;Lyapunov函数;计算复杂度;延迟神经网络;平衡点;全局渐近鲁棒稳定性;延迟神经网络;Lyapunov函数;平衡点;

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专利

1. A New Sufficient Condition for Global Robust Stability of Delayed Neural Networks [J] . Neyir Ozcan Neural processing letters . 2011,第3期

机译：时滞神经网络的全局鲁棒稳定性的新充分条件
2. New Sufficient Conditions for Global Robust Stability of Delayed Neural Networks [J] . Qi H. IEEE transactions on circuits and systems . I , Regular papers . 2007,第5期

机译：时滞神经网络的全局鲁棒稳定性的新充分条件
3. New sufficient conditions for global stability of neutral-type neural networks with time delays [J] . Zeynep Orman Neurocomputing . 2012,第期

机译：具有时滞的中立型神经网络的全局稳定性的新的充分条件
4. New sufficient criteria for global robust stability of neural networks with multiple time delays [C] . Yucel E., Arik S. International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology;ECTI-CON 2009 . 2009

机译：具有多个时滞的神经网络的全局鲁棒稳定性的新充分准则
5. Necessary and sufficient conditions for global asymptotic stability of third-order conewise linear systems [D] . Shokralla, Shaddy Samir Zaki 2006

机译：三阶锥线性系统整体渐近稳定性的充要条件。
6. Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations [O] . Yanyan Wang, Jinde Cao, Lulu Li 2010

机译：具有噪声扰动的延迟遗传调控网络的全球鲁棒电价稳定性
7. Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis - II [O] . Qi H, Qi L, Yang X 2005

机译：通过非光滑分析得出延迟神经网络的全局渐近稳定性的充分条件-II

New Sufficient Conditions for Global Robust Stability of Delayed Neural Networks

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