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A new reduction procedure based on the construction of a modified Hankel matrix from Markov parameters is proposed. The reduced model is in terms of an arbitrary parameter a. Thus, different reduced models of the same order can be obtained by substituting different values of a.
A method of generating matrices N(t) for transforming a linear multivariable time-varying system to the companion form has been given. In some cases, the transformation matrix could be made time invariant.
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