Partial eigenvalue assignment of high order systems with time delay

Xing Tao Wang; Lei Zhang

doi:10.1016/j.laa.2012.10.011

Partial eigenvalue assignment of high order systems with time delay

Xing Tao Wang^*
, Lei Zhang

^*Corresponding author for this work

Faculty of Computing

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

An explicit solution to the partial eigenvalue assignment problem of high order control systems with time delay is presented. The problem is solved by a direct method without turning high order systems into the first order form. The solution can be implemented with only a partial knowledge of the eigenvalues and the corresponding eigenvectors of the matrix polynomial. Necessary and sufficient conditions for our results are proven. Numerical examples are given to illustrate the effect of the approach.

Original language	English
Pages (from-to)	2174-2187
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	438
Issue number	5
DOIs	https://doi.org/10.1016/j.laa.2012.10.011
State	Published - 1 Mar 2013

Keywords

High order systems
Partial eigenvalue assignment
Time delay

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10.1016/j.laa.2012.10.011

Cite this

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title = "Partial eigenvalue assignment of high order systems with time delay",

abstract = "An explicit solution to the partial eigenvalue assignment problem of high order control systems with time delay is presented. The problem is solved by a direct method without turning high order systems into the first order form. The solution can be implemented with only a partial knowledge of the eigenvalues and the corresponding eigenvectors of the matrix polynomial. Necessary and sufficient conditions for our results are proven. Numerical examples are given to illustrate the effect of the approach.",

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T1 - Partial eigenvalue assignment of high order systems with time delay

AU - Wang, Xing Tao

AU - Zhang, Lei

PY - 2013/3/1

Y1 - 2013/3/1

N2 - An explicit solution to the partial eigenvalue assignment problem of high order control systems with time delay is presented. The problem is solved by a direct method without turning high order systems into the first order form. The solution can be implemented with only a partial knowledge of the eigenvalues and the corresponding eigenvectors of the matrix polynomial. Necessary and sufficient conditions for our results are proven. Numerical examples are given to illustrate the effect of the approach.

AB - An explicit solution to the partial eigenvalue assignment problem of high order control systems with time delay is presented. The problem is solved by a direct method without turning high order systems into the first order form. The solution can be implemented with only a partial knowledge of the eigenvalues and the corresponding eigenvectors of the matrix polynomial. Necessary and sufficient conditions for our results are proven. Numerical examples are given to illustrate the effect of the approach.

KW - High order systems

KW - Partial eigenvalue assignment

KW - Time delay

UR - https://www.scopus.com/pages/publications/84872101714

U2 - 10.1016/j.laa.2012.10.011

DO - 10.1016/j.laa.2012.10.011

M3 - 文章

AN - SCOPUS:84872101714

SN - 0024-3795

VL - 438

SP - 2174

EP - 2187

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 5

ER -

Partial eigenvalue assignment of high order systems with time delay

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