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An algorithm to perform the assignment by output feedback of an almost arbitrary set of eigenvalues for a class of linear time-invariant multivariable control systems with direct feedthrough is presented. This algorithm is a development of an earlier one proposed by the author for systems without feedthrough. Only the ordinary procedures of linear algebra are required for its implementation and the* proof given of the feasibility and validity of the algorithm includes a proof of the existence of the appropriate control law.
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Leslie Fletcher (1981) studied this question.
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