Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties

M. J.Park; O. M.Kwon; Ju H.Park; S. M.Lee; E. J.Cha

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Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties

机译：具有时变，泄漏时滞和参数不确定性的随机离散神经网络的鲁棒同步判据

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The purpose of this paper is to investigate a delay-dependent robust synchronization analysis for coupled stochastic discrete-time neural networks with interval time-varying delays in networks coupling, a time delay in leakage term, and parameter uncertainties. Based on the Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii’s functional and utilizing Finsler’s lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

机译：本文的目的是研究耦合随机随机离散时间神经网络的时滞相关鲁棒同步分析，该网络具有间隔时变的网络耦合时滞，泄漏项的时延和参数不确定性。根据Lyapunov方法，通过构造合适的Lyapunov-Krasovskii函数并利用Finsler引理，而无需使用自由加权矩阵，就可以根据线性矩阵不等式（LMI）得出一种新的依赖于延迟的网络同步准则。给出两个数值例子，说明所提方法的有效性。

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《Abstract and applied analysis》 |2013年第6期|共14页
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M. J.Park; O. M.Kwon; Ju H.Park; S. M.Lee; E. J.Cha;
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1. On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays [J] . M.J. Park, O.M. Kwon, Ju H. Park, Neurocomputing . 2013,第JANa1期

机译：具有时变间隔的耦合离散时间神经网络的同步准则
2. Robust stability analysis for discrete-time neural networks with time-varying leakage delays and random parameter uncertainties [J] . Banu L. Jarina, Balasubramaniam P. Neurocomputing . 2016,第Feba29期

机译：具有时变泄漏时滞和随机参数不确定性的离散神经网络的鲁棒稳定性分析
3. Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay [J] . Park M.J., Kwon O.M., Park J.H., Applied mathematics and computation . 2012,第12期

机译：具有时变间隔和泄漏时滞的耦合神经网络的同步准则
4. Robust stability of discrete-time stochastic BAM neural networks with Markovian jumping parameters and time-varying delays [C] . Shi Gui-Ju, Ren Mi-Feng, Gao Jun-Ling Proceedings of the Ninth International Conference on Machine Learning and Cybernetics . 2010

机译：具有马尔可夫跳跃参数和时变时滞的离散时间随机BAM神经网络的鲁棒稳定性
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. Synchronization criteria of discrete-time complex networks with time-varying delays and parameter uncertainties [O] . P. Balasubramaniam, L. Jarina Banu 2014

机译：具有时变时滞和参数不确定性的离散时间复杂网络的同步准则
7. Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties [O] . M. J. Park, O. M. Kwon, Ju H. Park, 2013

机译：用于耦合随机离散时间神经网络的鲁棒同步标准，间隔时变延迟，泄漏延迟和参数不确定性

Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties

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