LMI和Riccati方程的解析中心

1999 European Control Conference (ECC) Pub Date : 1999-08-01 DOI:10.23919/ECC.1999.7099868

Y. Genin, Y. Nesterov, P. Dooren

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引用次数: 5

摘要

本文导出了定义一个正传递函数的线性矩阵不等式解析中心的构造公式。通常与正传递函数相关的里卡蒂方程与凸集的边界点有关。本文证明了解析中心也可以用一个密切相关的方程来描述，并分析了它的光谱性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The analytic center of LMI's and Riccati equations

In this paper we derive formulas for constructing the analytic center of the linear matrix inequality defining a positive (para-hermitian) transfer function. The Riccati equations that are usually associated with such positive transfer functions, are related to boundary points of the convex set. In this paper we show that the analytic center is also described by a closely related equation, and we analyze its spectral properties.

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来源期刊

1999 European Control Conference (ECC)

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