到最近的不可控对的距离和代数里卡第方程

29th IEEE Conference on Decision and Control Pub Date : 1990-12-05 DOI:10.1109/CDC.1990.203595

P. Gahinet

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引用次数: 3

摘要

建立了矩阵可稳定对(A, B)的不稳定性趋近性与相关代数Riccati方程对称正定解的奇异性趋近性之间的联系。从这个结果，导出了(A, B)到最近的不可控对的可计算上界和下界。

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Distance to the nearest uncontrollable pair and algebraic Riccati equation

A connection is established between nearness to unstabilizability of a stabilizable pair (A, B) of matrices, and nearness to singularity of the symmetric positive definite solution to an associated algebraic Riccati equation. From this result, computable upper and lower bounds are derived for the distance of (A, B) to the nearest uncontrollable pair.<>

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来源期刊

29th IEEE Conference on Decision and Control

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