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Hermite, Lienard-Chipart, Markov matrices and the controllability gramians

机译:Hermite,Lienard-Chipart,Markov矩阵和可控语法

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摘要

The computation of the controllability gramian associated with a real polynomial f(s) is considered. It is shown that the inverses of the matrices arising in the Hermite, Lienard-Chipart and Markov criteria can be represented as the controllability gramian of 1/f(s). The corresponding state-space realizations are also established.
机译:考虑了与实多项式f(s)相关联的可控制语法的计算。结果表明,在Hermite,Lienard-Chipart和Markov准则中出现的矩阵的逆可以表示为1 / f(s)的可控制性。还建立了相应的状态空间实现。

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