• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

相似文献

1
Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching.具有状态相关切换的切换区间网络的鲁棒稳定性的时延分解方法。
Cogn Neurodyn. 2014 Aug;8(4):313-26. doi: 10.1007/s11571-014-9279-z. Epub 2014 Jan 19.
2
Complete delay-decomposing approach to asymptotic stability for neural networks with time-varying delays.具有时变延迟的神经网络渐近稳定性的完全延迟分解方法。
IEEE Trans Neural Netw. 2011 May;22(5):806-12. doi: 10.1109/TNN.2011.2111383. Epub 2011 Mar 17.
3
New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method.具有泄漏延迟和脉冲的神经网络的新稳定性准则：一种分段延迟方法。
Cogn Neurodyn. 2016 Feb;10(1):85-98. doi: 10.1007/s11571-015-9356-y. Epub 2015 Sep 29.
4
Stabilization of systems with interval time-varying delay based on delay decomposing approach.基于延迟分解方法的具有区间时变延迟系统的镇定
ISA Trans. 2017 Sep;70:1-6. doi: 10.1016/j.isatra.2017.05.017. Epub 2017 Jun 3.
5
New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components.具有连续时变延迟分量的中立型切换Hopfield神经网络的新的依赖延迟间隔的稳定性准则。
Cogn Neurodyn. 2016 Dec;10(6):543-562. doi: 10.1007/s11571-016-9396-y. Epub 2016 Jul 19.
6
Robust absolute stability criteria for uncertain Lurie interval time-varying delay systems of neutral type.中立型不确定Lurie区间时变延迟系统的鲁棒绝对稳定性判据
ISA Trans. 2016 Jan;60:2-11. doi: 10.1016/j.isatra.2015.10.019. Epub 2015 Nov 16.
7
Global exponential stability for switched memristive neural networks with time-varying delays.具有时变延迟的切换忆阻神经网络的全局指数稳定性
Neural Netw. 2016 Aug;80:34-42. doi: 10.1016/j.neunet.2016.04.002. Epub 2016 Apr 20.
8
Synchronization of chaotic nonlinear continuous neural networks with time-varying delay.时变时滞混沌非线性连续神经网络的同步。
Cogn Neurodyn. 2011 Nov;5(4):361-71. doi: 10.1007/s11571-011-9162-0. Epub 2011 Jul 6.
9
Improved results on delay-interval-dependent robust stability criteria for uncertain neutral-type systems with time-varying delays.时变时滞不确定中立型系统基于延迟区间依赖的鲁棒稳定性准则的改进结果。
ISA Trans. 2016 Jan;60:53-66. doi: 10.1016/j.isatra.2015.11.004. Epub 2015 Dec 25.
10
New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks.用于时滞神经网络全局渐近稳定性的新型Lyapunov-Krasovskii泛函
IEEE Trans Neural Netw. 2009 Mar;20(3):533-9. doi: 10.1109/TNN.2009.2014160. Epub 2009 Feb 13.

引用本文的文献

1
New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components.具有连续时变延迟分量的中立型切换Hopfield神经网络的新的依赖延迟间隔的稳定性准则。
Cogn Neurodyn. 2016 Dec;10(6):543-562. doi: 10.1007/s11571-016-9396-y. Epub 2016 Jul 19.
2
Power-rate synchronization of coupled genetic oscillators with unbounded time-varying delay.具有无界时变延迟的耦合遗传振荡器的功率 - 频率同步
Cogn Neurodyn. 2015 Oct;9(5):549-59. doi: 10.1007/s11571-015-9344-2. Epub 2015 May 20.

本文引用的文献

1
Finite-time synchronization of coupled neural networks via discontinuous controllers.通过不连续控制器实现耦合神经网络的有限时间同步。
Cogn Neurodyn. 2011 Nov;5(4):373-85. doi: 10.1007/s11571-011-9163-z. Epub 2011 Jul 8.
2
Local synchronization of one-to-one coupled neural networks with discontinuous activations.具有不连续激活的一对一耦合神经网络的局部同步。
Cogn Neurodyn. 2011 Mar;5(1):13-20. doi: 10.1007/s11571-010-9132-y. Epub 2010 Sep 8.
3
Complete delay-decomposing approach to asymptotic stability for neural networks with time-varying delays.具有时变延迟的神经网络渐近稳定性的完全延迟分解方法。
IEEE Trans Neural Netw. 2011 May;22(5):806-12. doi: 10.1109/TNN.2011.2111383. Epub 2011 Mar 17.
4
Exponential stabilization of neural networks with various activation functions and mixed time-varying delays.具有各种激活函数和混合时变延迟的神经网络的指数镇定
IEEE Trans Neural Netw. 2010 Jul;21(7):1180-4. doi: 10.1109/TNN.2010.2049118. Epub 2010 Jun 14.
5
Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay.基于加权延迟的时变延迟递归神经网络的新型稳定性准则。
IEEE Trans Neural Netw. 2010 Jan;21(1):91-106. doi: 10.1109/TNN.2009.2034742. Epub 2009 Dec 4.
6
Robust stability of genetic regulatory networks with distributed delay.具有分布式时滞的遗传调控网络的鲁棒稳定性。
Cogn Neurodyn. 2008 Dec;2(4):355-61. doi: 10.1007/s11571-008-9062-0. Epub 2008 Sep 26.

具有状态相关切换的切换区间网络的鲁棒稳定性的时延分解方法。

Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching.

机构信息

Department of Mathematics, Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096 China.

Department of Mathematics, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.

出版信息

Cogn Neurodyn. 2014 Aug;8(4):313-26. doi: 10.1007/s11571-014-9279-z. Epub 2014 Jan 19.

DOI:10.1007/s11571-014-9279-z
PMID:25009673
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4079903/
Abstract

This paper is concerned with a class of nonlinear uncertain switched networks with discrete time-varying delays . Based on the strictly complete property of the matrices system and the delay-decomposing approach, exploiting a new Lyapunov-Krasovskii functional decomposing the delays in integral terms, the switching rule depending on the state of the network is designed. Moreover, by piecewise delay method, discussing the Lyapunov functional in every different subintervals, some new delay-dependent robust stability criteria are derived in terms of linear matrix inequalities, which lead to much less conservative results than those in the existing references and improve previous results. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.

摘要

本文研究了一类具有离散时变时滞的非线性不确定切换网络。基于矩阵系统的严格完备性和时滞分解方法，利用新的李雅普诺夫-克拉索夫斯基泛函将时滞分解为积分项，设计了依赖于网络状态的切换规则。此外，通过分段时滞方法，在每个不同的子区间内讨论李雅普诺夫函数，得到了一些新的时滞相关鲁棒稳定性判据，这些判据以线性矩阵不等式的形式给出，与已有文献中的结果相比，具有更小的保守性，并改进了已有结果。最后，通过一个实例验证了理论结果的有效性。