A multi-step method for partial quadratic pole assignment problem with time delay

In this paper, the partial quadratic pole assignment problem with time delay is considered. We propose a multi-step method for solving this problem in which the unwanted eigenvalues are moved to desired values and all other eigenpairs remain unchanged. Our method is easy to realize and need not use the receptance matrix or solve the Sylvester equation. Numerical examples show that the proposed method is effective.