多元有理正实函数的正长预解式表示
Representation of rational positive real functions of several variables by means of positive long resolvent
摘要:
给出了一个有理齐次(一次)正实矩阵值函数作为系数为正半定矩阵的线性束的Schur补。有理正实函数的偏导数分子是多项式的平方和。
英文摘要:
A rational homogeneous (of degree one) positive real matrix-valued function is presented as the Schur complement of a block of the linear pencil with positive semidefinite matrix coefficients. The partial derivative numerators of a rational positive real function are the sums of squares of polynomials.
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