Infinite eigenvalue assignment for singular systems

In this paper the infinite eigenvalue assignment problem for singular syste ms is studied. Necessary and sufficient conditions are presented under whic h there exists a state feedback such that the closed-loop system is regular and has only infinite eigenvalues. The main result is proved constructivel y based on some simple numerical algorithms. These numerical algorithms con sist of an orthogonal reduction to an upper (block) Hessenberg form and a s imple linear recursion deduced from 2 x 2 Givens transformations. (C) 1999 Elsevier Science Inc. All rights reserved.