Eigenvalue placement for generalized linear systems (Q793673)

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.