Partial eigenvalue assignment for high order system by multi-input control

• Present an algorithm for multi-input state feedback partial eigenvalue assignment.
• Use the knowledge of only a few eigenvalues and the associated left eigenvectors.
• The no spillover property of the closed-loop system is guaranteed.

An algorithm of partial eigenvalue assignment problem for high order systems is given that the spectrums are partially reassigned to predetermined locations and the remaining spectrums keep unchanged. The algorithm requires the knowledge of only a small number of eigenvalues and their corresponding eigenvectors. Numerical examples are done to illustrate the effect of the approach.