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A new technique for designing dyadic controllers is established. By the use of the recently established matrix partial fraction expansion formula, the dyadic transformation matr??ces are naturally formed. A direct interpretation of the parameters of the dyadic transformation matrices via the residue matrices becomes possible.
A new formula for matrix partial fraction expansion is established. It only involves the inversion of the product of Vandermonde and Stanley matrices with Kronecher expansion and the multiplication of the resulting matrix by the Rosenbrook coefficient matrix. It is much simpler than either the indirect method or methods based on the Lagrange-Sylvester interpolation.
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