A method is presented which reduces the problem of determining the output feedback modal (eigenvalue or pole) control matrix K of a system to an explicit linear set of equations in the elements of K through the use of the Kronecker product. This set of equations is then partitioned into two subsets, one that constitutes the sufficient conditions for the existence of a solution and, provided this is consistent, a second subset that yields the desired modal control matrix.
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Paraskevopoulos et al. (1976) studied this question.
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