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A method for partial-fraction expansion of transfer matrices

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1 Author(s)
Leyva-Ramos, J. ; Div. of Eng., Brown Univ., Providence, RI, USA

A general method for partial-fraction expansion of transfer matrices is presented and a general formula is given. The main ideas of the procedure include: (1) no required derivatives for the case of repeated eigenvalues: (2) all the matrix residues are found at the same time; and (3) there is no need for knowledge of the minimal polynomial. The procedure can be easily applied to digital computer application and fills a void in the computer method for finding the partial-fraction expansion in the case of repeated eigenvalues. The results are presented in structured form using Kronecker products in a way that facilitates easy implementation using a variety of standard software packages

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Automatic Control, IEEE Transactions on  (Volume:36 ,  Issue: 12 )