Partial eigenvalue assignment with time delay robustness

Autor: Xiaobin Mao, Hua Dai
Rok vydání: 2013
Předmět:
Zdroj: Numerical Algebra, Control & Optimization. 3:207-221
ISSN: 2155-3297
DOI: 10.3934/naco.2013.3.207
Popis: The partial eigenvalue assignment problem concerns reassigning a few of undesired eigenvalues of a linear system to suitably chosen locations and keeping the other large number of eigenvalues and eigenvectors unchanged (no spill-over). This paper considers the partial eigenvalue assignment problem with time delay robustness. A time delay robustness measure is presented by analyzing the sensitivity of the assigned eigenvalues with respect to time delay. The problem is formulated as an unconstrained minimization problem with the cost function involving the time delay robustness measure. A numerical algorithm with analytical formulation of the gradient for the cost function is provided. A numerical example is included to show the effectiveness of the proposed method.
Databáze: OpenAIRE