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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, they 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 to control the system performance by a controller matrix which is computed in a more simpler way. (author). 26 refs.
Authors:
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/323
Reference Number:
SCA: 661100; PA: AIX-24:030863; SN: 93000956117
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATRICES; EIGENVALUES; ALGORITHMS; CONTROL THEORY; NEWTON METHOD; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10132253
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93619666; TRN: XA9333514030863
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[10] p.
Announcement Date:
Jul 04, 2005

Citation Formats

Shalaby, M A. A regional inverse eigenvalue problem: Solution with application in control theory. IAEA: N. p., 1992. Web.
Shalaby, M A. A regional inverse eigenvalue problem: Solution with application in control theory. IAEA.
Shalaby, M A. 1992. "A regional inverse eigenvalue problem: Solution with application in control theory." IAEA.
@misc{etde_10132253,
title = {A regional inverse eigenvalue problem: Solution with application in control theory}
author = {Shalaby, M A}
abstractNote = {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, they 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 to control the system performance by a controller matrix which is computed in a more simpler way. (author). 26 refs.}
place = {IAEA}
year = {1992}
month = {Oct}
}