| 时滞系统的完全稳定性研究综述 |
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| 引用本文： | 李旭光,张颖伟,冯琳.时滞系统的完全稳定性研究综述[J].控制与决策,2018,33(7):1153-1170. |
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| 作者姓名： | 李旭光 张颖伟 冯琳 |
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| 作者单位： | 东北大学信息科学与工程学院，沈阳110004,东北大学信息科学与工程学院，沈阳110004,东北大学信息科学与工程学院，沈阳110004 |
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| 基金项目： | 国家自然科学基金面上项目(61473065)；国家自然科学基金重点项目(61733003)；东北大学重点科技创新项目(N160402001). |
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| 摘 要： | 时滞系统的完全稳定性问题是控制领域中的一个基础理论问题,长期以来受到了人们的关注.然而,该问题非常复杂,人们往往存在一些不正确的理解,目前国内外尚未见到专门关于这一问题的综述性文献.对此,从基础知识、现有方法回顾、技术难点、求解思路等方面对时滞系统完全稳定性问题做一个全面、直观的介绍.最后,介绍一种最近提出的分析方法-----频域扫描框架.在该框架下,时滞系统完全稳定性问题能够得到完整的解决.
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| 关 键 词： | 时滞系统 完全稳定性 频域扫描框架 渐近行为 一致性 |
Survey on complete stability study for time-delay systems |
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| LI Xu-guang,ZHANG Ying-wei and FENG Lin.Survey on complete stability study for time-delay systems[J].Control and Decision,2018,33(7):1153-1170. |
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| Authors: | LI Xu-guang ZHANG Ying-wei and FENG Lin |
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| Affiliation: | College of Information Science and Engineering,Northeastern University,Shenyang 110004,China,College of Information Science and Engineering,Northeastern University,Shenyang 110004,China and College of Information Science and Engineering,Northeastern University,Shenyang 110004,China |
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| Abstract: | The complete stability of time-delay systems is a fundamental academic problem in the control field, which has attracted wide attention for a long time. However, people may tend to have some incorrect understanding of the complete stability. In the open literature, no dedicated survey paper has been reported so far concerning this topic. In this survey paper, the complete stability of time-delay systems is reviewed in terms of preliminaries, existing results, technical difficulties, and the idea of solution. Finally, a recently-established tool, the new frequency-sweeping framework, is introduced. Within this framework, the complete stability is systematically solved for the first time. |
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