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Parametric eigenstructure assignment for continuous-time descriptor systems. (English) Zbl 0669.93031
Authors’ summary: “Eigenstructure assignment for continuous-time descriptor systems, \(Ex'=Ax+Bu\), via descriptor-variable feedback control \(u=Kx\) is treated. A new parametric form for the gain matrix K which assigns rank[E] arbitrary finite eigenvalues to the closed-loop system is developed. This form embraces two sets of design parameter vectors characterizing respectively the assignable eigenvectors associated with the finite eigenvalues and a necessary and sufficient condition for closed-loop system regularity. In addition, a certain submatrix of K turns out to be totally free whenever nullity[E] exceeds rank[B]. Unlike earlier methods, the eigenvectors associated with infinite eigenvalues are dispensed with in the solution algorithm.”
Reviewer: S.Campbell

MSC:
93B55 Pole and zero placement problems
34A99 General theory for ordinary differential equations
93C15 Control/observation systems governed by ordinary differential equations
93B60 Eigenvalue problems
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