Abstract

In this paper, we propose a parametric solution to the partial eigenvalue assignment problem by state feedback control for non-symmetric quadratic pencil in multi-input case using orthogonality relations between eigenvectors. Our solution can be implemented with only a partial knowledge of the spectrum and the corresponding eigenvectors of non-symmetric quadratic pencil. We show that the number of eigenvalues and eigenvectors that need to remain unchanged will not be affected by feedback matrices. A numerical example is given to illustrate the proposed method.

Key-words: Non-symmetric quadratic pencil, eigenvectors, eigenvalues.