Introducing SOSTOOLS: a general purpose sum of squares programming solver

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 a...

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Bibliographic Details
Published inProceedings of the 41st IEEE Conference on Decision and Control, 2002 Vol. 1; pp. 741 - 746 vol.1
Main Authors Prajna, S., Papachristodoulou, A., Parrilo, P.A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2002
Subjects
Automatic control
Automatic programming
Computer languages
Control systems
Control theory
Dynamic programming
Lyapunov method
MATLAB
Polynomials
Robust stability
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ISBN0780375165
9780780375161
ISSN0191-2216
DOI10.1109/CDC.2002.1184594

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Summary: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.
ISBN:0780375165
9780780375161
ISSN:0191-2216
DOI:10.1109/CDC.2002.1184594