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A new method for block partial fraction expansion of matrix fraction descriptions

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

The block-observability form is used to develop a method for finding the block partial fraction expansion of an irreducible right or left matrix fraction description with distinct and/or repeated solvents of the denominator matrix polynomials. The new formulas ar very simple and only require that the block Vandermonde matrix be formed from the right or left solvents. All the matrix residues of the expansion are found simultaneously by a simple matrix manipulation and the formulas are suitable for digital computer application

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