Prajna, Stephen and Papachristodoulou, Antonis and Seiler, Peter and Parrilo, Pablo A. (2005) SOSTOOLS and Its Control Applications. In: Positive Polynomials in Control. Lecture Notes in Control and Information Science. No.312. Springer , Berlin, pp. 273-292. ISBN 978-3-540-23948-2. https://resolver.caltech.edu/CaltechAUTHORS:20200330-073159726
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Abstract
In this chapter we present SOSTOOLS, a third-party MATLAB toolbox for formulating and solving sum of squares optimization problems. Sum of squares optimization forms a basis for formulating convex relaxations to computationally hard problems such as some that appear in systems and control. Currently, sum of squares programs are solved by casting them as semidefinite programs, which can in turn be solved using interior-point based numerical methods. SOSTOOLS helps this translation in such a way that the underlying computations are abstracted from the user. Here we give a brief description of the toolbox, its features and capabilities (with emphasis on the recently added ones), as well as show how it can be applied to solving problems of interest in systems and control.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 2005 Springer-Verlag Berlin Heidelberg. | ||||||
| Subject Keywords: | Lyapunov Function; Time Delay System; Control Application; Nonlinear Stability Analysis; Symbolic Object | ||||||
| Series Name: | Lecture Notes in Control and Information Science | ||||||
| Issue or Number: | 312 | ||||||
| DOI: | 10.1007/10997703_14 | ||||||
| Record Number: | CaltechAUTHORS:20200330-073159726 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200330-073159726 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 102161 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 30 Mar 2020 15:42 | ||||||
| Last Modified: | 16 Nov 2021 18:09 |
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