Saad, Youcef Projection and deflation methods for partial pole assignment in linear state feedback. (English) Zbl 0641.93031 IEEE Trans. Autom. Control 33, No. 3, 290-297 (1988). The problem of pole assignment of linear control systems in case when the open-loop system has a few unstable poles is considered. Two methods for shifting the unstable poles by state feedback are proposed. The first method consists in the computation of an orthonormal basis of the invariant subspace corresponding to the unstable poles and then solving the resulting pole assignment problem of low dimension. The second method is based on the Wielandt deflation technique used in solving the eigenvalue problem and moves one pole at a time. Extensions to the multi- input case are given. Reviewer: Petko Hr.Petkov Cited in 26 Documents MSC: 93B55 Pole and zero placement problems 93B40 Computational methods in systems theory (MSC2010) 93C05 Linear systems in control theory 65K10 Numerical optimization and variational techniques 93D15 Stabilization of systems by feedback Keywords:pole assignment; linear control systems; state feedback; orthonormal basis; invariant subspace; deflation PDFBibTeX XMLCite \textit{Y. Saad}, IEEE Trans. Autom. Control 33, No. 3, 290--297 (1988; Zbl 0641.93031) Full Text: DOI