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A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay

机译：具有时滞的Hopfield神经网络的时滞依赖渐近稳定性判据

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In this brief, the problem of global asymptotic stability for delayed Hopfield neural networks (HNNs) is investigated. A new criterion of asymptotic stability is derived by introducing a new kind of Lyapunov-Krasovskii functional and is formulated in terms of a linear matrix inequality (LMI), which can be readily solved via standard software. This new criterion based on a delay fractioning approach proves to be much less conservative and the conservatism could be notably reduced by thinning the delay fractioning. An example is provided to show the effectiveness and the advantage of the proposed result. © 2008 IEEE.

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Lam J; Gao H; Qiang W; Mou S;
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年度 2008
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正文语种 eng
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专利

1. A New Criterion of Delay-Dependent Asymptotic Stability for Hopfield Neural Networks With Time Delay [J] . Mou S., Gao H., Lam J., IEEE Transactions on Neural Networks . 2008,第3期

机译：具有时滞的Hopfield神经网络的时滞相关渐近稳定性的新判据
2. Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays [J] . Chen Liping, Huang Tingwen, Tenreiro Machado J. A., Neural Networks: The Official Journal of the International Neural Network Society . 2019,第期

机译：具有时变延迟的一类分数次数神经网络的渐近稳定性的延迟依赖性标准
3. A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays [J] . Ju H. Park, Hyun J. Cho Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007,第2期

机译：时滞离散和分布时滞的神经网络的时滞相关渐近稳定性判据
4. An Improved Delay-Dependent Globally Asymptotically Stability Criterion for the Static Neural Networks with Time-Varying Delay [C] . Kai Mao, Bao Shi, Shudong Zhang International Conference on Modelling, Simulation and Applied Mathematics . 2015

机译：具有时变延迟的静态神经网络的改进延迟依赖性全局渐近稳定性标准
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. An Improved Delay-Dependent Globally Asymptotically Stability Criterion for the Static Neural Networks with Time-Varying Delay [O] . Kai Mao, Bao Shi, Shudong Zhang 2015

机译：具有时变延迟的静态神经网络的改进延迟依赖性全局渐近稳定性标准

A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay

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