@inproceedings{9d50c3026dc5447d9c1ad8ba3d7a6c9a,
title = "Parametric approaches for eigenstructure assignment in high-order descriptor linear systems",
abstract = "This paper considers eigenstructure assignment in high-order descriptor linear systems via proportional plus derivative state feedback. It is shown that the problem is closely related with a type of so-called high-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches",
author = "Duan, \{Guang Ren\} and Yu, \{Hai Hua\}",
year = "2006",
doi = "10.1109/cdc.2006.377488",
language = "英语",
isbn = "1424401712",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1399--1404",
booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",
address = "美国",
note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",
}