关于Kalman-Yakubovich-Popov引理和非极小状态空间实现

i Medicina Pub Date : 2017-07-01 DOI:10.1109/MED.2017.7984226

M. Sen

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引用次数: 0

摘要

本文讨论了线性连续系统转移矩阵的非极小状态空间实现时，Kalman-Yakubovich-Popov引理或正实引理的意义。从相关的Lyapunov方程可以看出，传递矩阵上的一些伪参数条件保持了保证稳定性的正实引理。

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About the Kalman-Yakubovich-Popov Lemma and non-minimal state-space realizations

This paper is devoted to the implications of the Kalman-Yakubovich-Popov Lemma, or Positive Real Lemma, when non-minimal state space realizations of transfer matrices of linear continuous systems are used. It is seen that some spurious parametrical conditions on the transfer matrix keep the Positive Real Lemma guaranteeing the stability from the associated Lyapunov equation.

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i Medicina

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