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Eigenvalue placement for generalized linear systems. (English) Zbl 0538.93024
This paper deals with some aspects of eigenvalue placement by state feedback for generalized linear systems described by \(E\dot x=Ax+Bu,\) where E is a singular map. It is shown that controllability of the infinite eigenvalues of the pencil (sE-A) is equivalent to the existence of a state feedback map which assigns those eigenvalues to pre-specified complex numbers. A procedure for the assignment of eigenvalues and eigenvectors is also discussed.
Reviewer: J.O’Reilly

MSC:
93B55 Pole and zero placement problems
34A99 General theory for ordinary differential equations
93C05 Linear systems in control theory
15A18 Eigenvalues, singular values, and eigenvectors
93B05 Controllability
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