Gap metric on the subgraphs of systems and the robustness problem

Wan S.; Huang B.

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Gap metric on the subgraphs of systems and the robustness problem

机译：系统子图上的间隙度量和鲁棒性问题

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The gap metric between the shift invariant subspaces of the graphs, or subgraphs, of systems is investigated. Under certain index conditions, it is shown that the gap metric on the subgraphs shares the same fundamental property of robust stability as those well known metrics such as the gap metric and the ν-gap metric. It is also shown that the ν-gap metric between two systems is the distance, measured by the gap metric, between their respective sets of all subgraphs under certain index conditions

机译：研究了系统图或子图的移位不变子空间之间的间隙度量。在某些索引条件下，表明子图上的间隙度量与那些众所周知的度量（例如间隙度量和ν间隙度量）具有相同的鲁棒稳定性基本属性。还表明，两个系统之间的ν间隙度量是在一定的索引条件下，它们各自的所有子图集之间的距离，由间隙度量测得

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来源
《IEEE Transactions on Automatic Control》 |2000年第8期|p.1522-1526|共5页
作者
Wan S.; Huang B.;
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正文语种 eng
中图分类自动化系统;
关键词
graph theory; robust control; ν-gap metric; gap metric; index conditions; robust stability; robustness problem; shift invariant subspaces; system subgraphs;

机译：图论;鲁棒控制;ν-间隙度量;间隙度量;索引条件;鲁棒稳定性;鲁棒性问题;移位不变子空间;系统子图;

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专利

1. Gap metric on the subgraphs of systems and the robustness problem [J] . Wan S., Huang B. IEEE Transactions on Automatic Control . 2000,第8期

机译：系统子图上的间隙度量和鲁棒性问题
2. Gap-metric-based robustness analysis of nonlinear systems with full and partial feedback linearisation [J] . Al-Gburi A., Freeman C. T., French M. C. International Journal of Control . 2018,第4a6期

机译：具有全部分反馈线性的非线性系统的基于间隙度的鲁棒性分析
3. On robustness in the gap metric and coprime factor uncertainty for LTV systems [J] . Djouadi Seddik M. Systems and Control Letters . 2015,第Null期

机译：LTV系统的间隙度量和互质因子不确定性的鲁棒性
4. Robustness of Adaptive Control Augmentation of Linear Infinite Dimensional Systems Using the Kato Gap Metric [C] . Mark J. Balas, Jerg Jaisle, Florian Holzapfel AIAA SciTech forum and exposition . 2020

机译：基于Kato Gap度量的线性无限维系统自适应控制增强的鲁棒性。
5. Robustness analysis for power systems based on the structured singular value tools and the nu gap metric. [D] . Zhu, Chuanjiang. 2001

机译：基于结构化奇异值工具和nu间隔度量的电力系统稳健性分析。
6. Systems Biology for Smart Crops and Agricultural Innovation: Filling the Gaps between Genotype and Phenotype for Complex Traits Linked with Robust Agricultural Productivity and Sustainability [O] . Anil Kumar, Rajesh Kumar Pathak, Sanjay Mohan Gupta, -1

机译：聪明作物和农业创新的系统生物学：填补基因型和表型之间复杂的性状与农业生产力和可持续性相关的空白
7. Gap-metric-based robustness analysis of nonlinear systems with full and partial feedback linearisation [O] . A. Al-Gburi, C. T. Freeman, M. C. French 2017

机译：基于间隙 - 基于间隙的非线性系统的鲁棒性分析，具有部分反馈线性化
8. Sufficient Conditions for Bounded Input Bounded Output (BIBO) Robust Stabilization: Given by the Gap Metric [R] . Zhu, S. Q., Hautus, M. L. J., Praagman, C. 1987

机译：有界输入有界输出（BIBO）鲁棒镇定的充分条件：由间隙度量给出

Gap metric on the subgraphs of systems and the robustness problem

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