文件名称:hankel3
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[自動控制] Routh-Hankel matrix數值計算工具,輸入System Function後,程式會計算Hankel singular values and vectors、Schmidt pairs等值。詳情請見英文描述。-<<singular values and vectors>>
[R_G,Sigma,U,V,Us,Vs]=HANKEL3(G) computes the Routh-Hankel matrix, the Hankel singular values and vectors, the Schmidt pairs of a given proper stable system G (created with either TF, ZPK, SS, or FRD).||
Output "R_G" is the Routh-Hankel matrix. ||
Output "Sigma" is a matrix whose elements on the diagonal are the Hankel singular values of the given system. ||
Output "U" is a matrix, the ith column of which is the left singular vector corresponding to the ith singular value. ||
Output "V" is a matrix, the ith column of which is the right singular vector corresponding to the ith singular value. ||
Output "Us" and "Vs" provides the Schmidt pairs. The ith elements of Us and Vs form the Schmidt pair corresponding the ith Hankel singular value.
[R_G,Sigma,U,V,Us,Vs]=HANKEL3(G) computes the Routh-Hankel matrix, the Hankel singular values and vectors, the Schmidt pairs of a given proper stable system G (created with either TF, ZPK, SS, or FRD).||
Output "R_G" is the Routh-Hankel matrix. ||
Output "Sigma" is a matrix whose elements on the diagonal are the Hankel singular values of the given system. ||
Output "U" is a matrix, the ith column of which is the left singular vector corresponding to the ith singular value. ||
Output "V" is a matrix, the ith column of which is the right singular vector corresponding to the ith singular value. ||
Output "Us" and "Vs" provides the Schmidt pairs. The ith elements of Us and Vs form the Schmidt pair corresponding the ith Hankel singular value.
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hankel3.m