On Some Properties of Parametric Quadratic Programs Pertaining to Continuous-time Quadratic Fractional Programming

This article is concerned with quadratic fractional optimal control problems with linear state constraints. Such problems are called the {\em continuous-time quadratic fractional programming problems} (CQFP). Some basic properties of parametric continuous-time quadratic programming problems pertaini...

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Published in:2012 Fifth International Joint Conference on Computational Sciences and Optimization pp. 246 - 250
Main Authors: Ching-Feng Wen, Yung-Yih Lur, Wen-Hsien Ho, Jyh-Horng Chou
Format: Conference Proceeding
Language:English
Published: IEEE 01.06.2012
Subjects:
Continuous-time quadratic fractional programming problems
Educational institutions
Electronic mail
Infinite-dimensional nonlinear programming
Programming profession
Quadratic programming
Strong Duality
Symmetric matrices
Weak duality
ISBN:9781467313650, 1467313653
Online Access:Get full text
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Abstract This article is concerned with quadratic fractional optimal control problems with linear state constraints. Such problems are called the {\em continuous-time quadratic fractional programming problems} (CQFP). Some basic properties of parametric continuous-time quadratic programming problems pertaining to (CQFP) are derived. By these properties, (CQFP) can be reduced to continuous-time quadratic programming problems. Besides, a discretization approach for solving continuous-time quadratic programming problems is also developed. The developed approach will provide an important foundation for constructing a parametric computational procedure for (CQFP).
AbstractList This article is concerned with quadratic fractional optimal control problems with linear state constraints. Such problems are called the {\em continuous-time quadratic fractional programming problems} (CQFP). Some basic properties of parametric continuous-time quadratic programming problems pertaining to (CQFP) are derived. By these properties, (CQFP) can be reduced to continuous-time quadratic programming problems. Besides, a discretization approach for solving continuous-time quadratic programming problems is also developed. The developed approach will provide an important foundation for constructing a parametric computational procedure for (CQFP).
Author Wen-Hsien Ho
Ching-Feng Wen
Yung-Yih Lur
Jyh-Horng Chou
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  surname: Yung-Yih Lur
  fullname: Yung-Yih Lur
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  surname: Wen-Hsien Ho
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  email: whho@kmu.edu.tw
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  surname: Jyh-Horng Chou
  fullname: Jyh-Horng Chou
  email: choujh@nkfust.edu.tw
  organization: Dept. of Electr. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Kaohsiung, Taiwan
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Snippet This article is concerned with quadratic fractional optimal control problems with linear state constraints. Such problems are called the {\em continuous-time...
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StartPage 246
SubjectTerms Continuous-time quadratic fractional programming problems
Educational institutions
Electronic mail
Infinite-dimensional nonlinear programming
Programming profession
Quadratic programming
Strong Duality
Symmetric matrices
Weak duality
Title On Some Properties of Parametric Quadratic Programs Pertaining to Continuous-time Quadratic Fractional Programming
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