| 稳定摄动界与厂义Cramer法则 |
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| 引用本文： | 于年才.稳定摄动界与厂义Cramer法则[J].系统科学与数学,1995,15(4):364-373. |
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| 作者姓名： | 于年才 |
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| 作者单位： | 北京大学力学系 |
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| 基金项目： | 国家自然科学基金,国家教委博士点研究基金 |
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| 摘 要： | 本文分为四部分：１是引言，叙述研究这一问题的意义，特别是对鲁棒分析的意义；２是必要的基本概念与广义Ｃｒａｍｅｒ法则；３，４两部分分别研究了最小∞范数解和最小１范数解的理论和算法，本文所得到的结果不仅对线性代数，而且对鲁棒控制、最优控制和线性规划有意义．
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| 关 键 词： | 稳定摄动界 广义Cramer法则 最小范数解 |
STABILITY PERTURBATION BOUND AND THE GENERALIZED CRAMER'S PRINCIPLE |
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| YU NIAN-CAI,HUANG LIN.STABILITY PERTURBATION BOUND AND THE GENERALIZED CRAMER''S PRINCIPLE[J].Journal of Systems Science and Mathematical Sciences,1995,15(4):364-373. |
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| Authors: | YU NIAN-CAI HUANG LIN |
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| Institution: | (1)Department of Mechanics, Peking University,Beijing 100871;(2)Department of Mechanics, Peking University,Beijing 100871 |
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| Abstract: | This paper is diveded into four parts. The first part is the introduction,which shows the significance of this paper,especially for robustness analysis.In the second part,we introduce the necessary concepts and the generalized Cramer's Principle.Parts three and four deal with the theory and algorithms of the least infinity-norm solution and the least one.nornsolution,respectively. The results presented in this paper are meaningful not only to Linear Algebra, but also to Robust Control,ptimal Control and Linear Programming. |
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| Keywords: | Stability perturbation bound generalized Cramer's Principle least norm solution |
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