Some necessary and sufficient conditions for eigenstructure assignment
Fletcher, L. R., Kautsky, J., Kolka, G. K. G. and Nichols, N. (1985) Some necessary and sufficient conditions for eigenstructure assignment. International Journal of Control, 42 (6). pp. 1457-1468. ISSN 0020-7179
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To link to this article DOI: 10.1080/00207178508933437
Some necessary and sufficient conditions for closed-loop eigenstructure assignment by output feedback in time-invariant linear multivariable control systems are presented. A simple condition on a square matrix necessary and sufficient for it to be the closed-loop plant matrix of a given system with some output feedback is the basis of the paper. Some known results on entire eigenstructure assignment are deduced from this. The concept of an inner inverse of a matrix is employed to obtain a condition concerning the assignment of an eigenstructure consisting of the eigenvalues and a mixture of left and right eigenvectors.