Rational Optimization using Sum-of-Squares Techniques
- Creators
- Lavaei, Javad
- Sojoudi, Somayeh
- Aghdam, Amir G.
Abstract
Motivated by many control applications, this paper deals with the global solutions of unconstrained optimization problems. First, a simple SOS method is presented to find the infimum of a polynomial, which can be handled efficiently using the relevant software tools. The main idea of this method is to introduce a perturbation variable whose approaching to zero results in a solution with any arbitrary precision. The proposed technique is then extended to the case of rational functions. The primary advantages of this approach over the existing ones are its simplicity and capability of treating problems for which the existing methods are not efficient, as demonstrated in three numerical examples.
Additional Information
© 2007 IEEE. Issue Date: 12-14 Dec. 2007; Date of Current Version: 21 January 2008. This work has been supported by the Natural Sciences and Engineering Research Council of Canada under grant RGPIN-262127-07.Attached Files
Published - Lavaei2007p8546Proceedings_Of_The_46Th_Ieee_Conference_On_Decision_And_Control_Vols_1-14.pdf
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Additional details
- Eprint ID
- 20089
- Resolver ID
- CaltechAUTHORS:20100922-115459836
- RGPIN-262127-07
- Natural Sciences and Engineering Research Council of Canada
- Created
-
2010-09-24Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field
- Series Name
- Proceedings IEEE Conference on Decision and Control
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 9886046