Dyadic feedback laws for linear multivariable systems

1 October 1972

journal article
research article
Published by Taylor & Francis in International Journal of Systems Science

Vol. 3 (3) , 293-312
https://doi.org/10.1080/00207727208920268

Abstract

The extent to which it is possible to assign the eigenvalues of the system Where K is constrained to have the dyadic structure. K = qp^T, is investigated. It is shown that a necessary and sufficient condition for the existence of a dyadic feedback law to assign arbitrary eigenvalues, in so for as this can be accomplished by any state variable feedback law, is that the system matrix of the controllable part of the system is non-derogatory. The proof furnishes a constructive procedure for computing a vector q in this case. The treatment is based on the Anderson-Luenberger approach, and a now result is presented regarding the information which can be extracted from their canonical form.

Keywords

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