Prajna, Stephen and Papachristodoulou, Antonis and Parrilo, Pablo A. (2002) Introducing SOSTOOLS: A General Purpose Sum of Squares Programming Solver. In: Proceedings of the 41st IEEE Conference on Decision and Control. IEEE Conference on Decision and Control-Proceedings. IEEE , Piscataway, NJ, pp. 741-746. ISBN 0-7803-7516-5. https://resolver.caltech.edu/CaltechAUTHORS:20111109-140347153
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Abstract
SOSTOOLS is a MATLAB toolbox for constructing and solving sum of squares programs. It can be used in combination with semidefinite programming software, such as SeDuMi, to solve many continuous and combinatorial optimization problems, as well as various control-related problems. The paper provides an overview on sum of squares programming, describes the primary features of SOSTOOLS, and shows how SOSTOOLS is used to solve sum of squares programs. Some applications from different areas are presented to show the wide applicability of sum of squares programming in general and SOSTOOLS in particular.
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Additional Information: | © 2002 IEEE. Issue Date: 10-13 Dec. 2002; Date of Current Version: 10 March 2003. Work of the first and second authors was supported by AFOSR MURI "Mathematical Infrastructure for Robust Virtual Engineering" and "Unified Theory for Complex Biological and Engineering Networks", NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA "Enlightened multiscale simulation of biochemical networks", the Kitano ERATO Systems Biology Project, and URI "Protecting Infrastructures from Themselves.". | ||||||||||||||
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Series Name: | IEEE Conference on Decision and Control-Proceedings | ||||||||||||||
DOI: | 10.1109/CDC.2002.1184594 | ||||||||||||||
Record Number: | CaltechAUTHORS:20111109-140347153 | ||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111109-140347153 | ||||||||||||||
Official Citation: | Prajna, S.; Papachristodoulou, A.; Parrilo, P.A.;, "Introducing SOSTOOLS: a general purpose sum of squares programming solver," Decision and Control, 2002, Proceedings of the 41st IEEE Conference on , vol.1, no., pp. 741- 746 vol.1, 10-13 Dec. 2002 doi: 10.1109/CDC.2002.1184594 | ||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
ID Code: | 27713 | ||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||
Deposited By: | Jason Perez | ||||||||||||||
Deposited On: | 09 Nov 2011 22:43 | ||||||||||||||
Last Modified: | 09 Nov 2021 16:51 |
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