A regional inverse eigenvalue problem: Solution with application in control theory

M. A. Shalaby

doi:10.1093/imamci/11.1.35

A regional inverse eigenvalue problem: Solution with application in control theory

M. A. Shalaby^*

^*Corresponding author for this work

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

Abstract

A new procedure for the solution of the regional inverse eigenvalue problem is suggested and applied to the pole-assignment problem of control theory. Algebraic inequalities are derived which set bounds on the real and imaginary parts of the closed-loop matrix eigenvalues. As a result, these eigenvalues are located inside a prescribed rectangular region in the complex plane, which is better in real applications for controlling the system performance by a controller matrix which is computed in a simpler way.

Original language	English (US)
Pages (from-to)	35-41
Number of pages	7
Journal	IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
Volume	11
Issue number	1
DOIs	https://doi.org/10.1093/imamci/11.1.35
State	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

Access to Document

10.1093/imamci/11.1.35

Cite this

@article{e8eec27736f4415280a87b21076c6883,

title = "A regional inverse eigenvalue problem: Solution with application in control theory",

abstract = "A new procedure for the solution of the regional inverse eigenvalue problem is suggested and applied to the pole-assignment problem of control theory. Algebraic inequalities are derived which set bounds on the real and imaginary parts of the closed-loop matrix eigenvalues. As a result, these eigenvalues are located inside a prescribed rectangular region in the complex plane, which is better in real applications for controlling the system performance by a controller matrix which is computed in a simpler way.",

author = "Shalaby, {M. A.}",

year = "1994",

doi = "10.1093/imamci/11.1.35",

language = "English (US)",

volume = "11",

pages = "35--41",

journal = "IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION",

issn = "0265-0754",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - A regional inverse eigenvalue problem

T2 - Solution with application in control theory

AU - Shalaby, M. A.

PY - 1994

Y1 - 1994

N2 - A new procedure for the solution of the regional inverse eigenvalue problem is suggested and applied to the pole-assignment problem of control theory. Algebraic inequalities are derived which set bounds on the real and imaginary parts of the closed-loop matrix eigenvalues. As a result, these eigenvalues are located inside a prescribed rectangular region in the complex plane, which is better in real applications for controlling the system performance by a controller matrix which is computed in a simpler way.

AB - A new procedure for the solution of the regional inverse eigenvalue problem is suggested and applied to the pole-assignment problem of control theory. Algebraic inequalities are derived which set bounds on the real and imaginary parts of the closed-loop matrix eigenvalues. As a result, these eigenvalues are located inside a prescribed rectangular region in the complex plane, which is better in real applications for controlling the system performance by a controller matrix which is computed in a simpler way.

UR - http://www.scopus.com/inward/record.url?scp=0028732370&partnerID=8YFLogxK

U2 - 10.1093/imamci/11.1.35

DO - 10.1093/imamci/11.1.35

M3 - Article

AN - SCOPUS:0028732370

SN - 0265-0754

VL - 11

SP - 35

EP - 41

JO - IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION

JF - IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION

IS - 1

ER -

A regional inverse eigenvalue problem: Solution with application in control theory

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this