Partial Eigenvalue Assignment in Linear Systems: Existence, Uniqueness and Numerical Solution

Abstract

The problem of reassigning a part of the open-loop spectrum of a linear system by feedback control, leaving the rest of the spectrum invariant, is called the partial eigenvalue assignment problem. In this paper, we derive new necessary and sufficient conditions for existence and uniqueness of solution of the partial eigenvalue assignment problem and then present a practical parametric algorithm to numerically solve it. The algorithm is feasible for large-scale solution and computationally viable. It also offers an opportunity to devise a robust solution to the problem by exploiting the arbitrary nature of the parameters.

Cite this paper

@inproceedings{Datta2002PartialEA, title={Partial Eigenvalue Assignment in Linear Systems: Existence, Uniqueness and Numerical Solution}, author={Biswa Nath Datta and Daniil R. Sarkissian}, year={2002} }