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Extended dissipativity stabilization and synchronization of uncertain stochastic reaction-diffusion neural networks via intermittent non-fragile control

机译:通过间歇性非脆弱控制扩展不确定性随机反应-扩散神经网络的耗散稳定性和同步性

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摘要

This paper mainly studies the problem of extended dissipativity stabilization and synchronization of a class of uncertain stochastic reaction-diffusion neural networks with discrete and distributed time-varying delays via intermittent non-fragile control strategies. A novel stabilization and synchronization criteria and extended dissipative analysis is obtained by combining a switching time dependent Lyapunov functional method with Wirtinger's inequality technique. Then, by solving a set of delay dependent linear matrix inequalities, we obtain the desired intermittent non-fragile controller, which can be used to satisfies the prescribed level of extended dissipativity behaviors, including H-infinity behavior, passivity action, (Q, S, R)-dissipative performance, and L-2 - L-infinity performance. Finally, two numerical examples are adopted to verify the validity of the stabilization and synchronization results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:本文主要通过间歇性非脆弱控制策略研究一类具有离散和分布时变时滞的不确定随机反应-扩散神经网络的扩展耗散稳定性和同步性问题。通过将依赖于切换时间的Lyapunov函数方法与Wirtinger不等式技术相结合,可以获得新颖的稳定和同步准则以及扩展的耗散分析。然后,通过求解一组依赖于延迟的线性矩阵不等式,我们获得了所需的间歇性非脆弱控制器,该控制器可用于满足规定的扩展耗散性行为的规定水平,包括H无限性行为,无源性行为(Q,S ,R)耗散性能和L-2-L无穷大性能。最后,通过两个数值例子验证了稳定和同步结果的有效性。 (C)2019富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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  • 来源
    《Journal of the Franklin Institute》 |2019年第18期|11690-11715|共26页
  • 作者

    Ding Kui; Zhu Quanxin; Liu Lijun;

  • 作者单位

    Hunan Normal Univ Sch Math & Stat MOE LCSM Changsha 410081 Hunan Peoples R China|Qingdao Univ Sci & Technol Sch Math & Phys Qingdao Shandong Peoples R China|Nanjing Normal Univ Sch Math Sci Nanjing 210023 Jiangsu Peoples R China;

    Hunan Normal Univ Sch Math & Stat MOE LCSM Changsha 410081 Hunan Peoples R China|Nanjing Normal Univ Sch Math Sci Nanjing 210023 Jiangsu Peoples R China;

    Nanjing Univ Aeronaut & Astronaut Coll Automat Engn Nanjing 210016 Jiangsu Peoples R China;

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