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A Generalized Framework of Linear Multivariable Control by Liansheng Tan

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7.5 To determine the Smith-McMillan form of a rational matrix

In this section we discuss briefly how the procedures proposed above can be used to find the Smith-McMillan form of a rational matrix. If we can construct a right (left) coprime polynomial MFD from the given rational matrix, then the problem of finding the Smith-McMillan form of a rational matrix is reduced to that of determining the Smith forms of the polynomial matrices via the following known result.

Proposition 7.5.1

[5]

Let T(s)R(s)p×msi133_e with rankR(s)T(s)=r,rmin{p,m}si134_eand let T

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