Prajna, Stephen and Sandberg, Henrik (2005) On Model Reduction of Polynomial Dynamical Systems. In: 2005 IEEE Conference on Decision and Control & European Control Conference. IEEE Conference on Decision and Control Proceedings. IEEE , Piscataway, N.J., pp. 1666-1671. ISBN 0-7803-9567-0. https://resolver.caltech.edu/CaltechAUTHORS:20110825-135418098
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Abstract
In this paper, we develop a computational method for model reduction of polynomial dynamical systems. This is achieved using sum of squares relaxations on certain Lyapunov inequalities, which are the nonlinear counterparts of the Lyapunov controllability and observability linear matrix inequalities for linear systems. In our model reduction procedure, we use notions of balanced realization and balanced truncation for a polynomial model. In addition, we derive an a-priori error bound on the approximation error for balanced truncation.
| Item Type: | Book Section | ||||||||||||
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| Additional Information: | © 2005 IEEE. Date of Current Version: 30 January 2006. The work of the first author was financially supported by the Army Institute for Collaborative Biotechnologies, the NSF Award CCF-0326635, and the AFOSR Award FA9550-05-1-0032. The work of the second author was financially supported by the Swedish Research Council (project 2000-5630) and the Swedish Foundation for Strategic Research (project CPDC). | ||||||||||||
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| Series Name: | IEEE Conference on Decision and Control Proceedings | ||||||||||||
| DOI: | 10.1109/CDC.2005.1582398 | ||||||||||||
| Record Number: | CaltechAUTHORS:20110825-135418098 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20110825-135418098 | ||||||||||||
| Official Citation: | Prajna, S.; Sandberg, H.; , "On Model Reduction of Polynomial Dynamical Systems," Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on , vol., no., pp. 1666- 1671, 12-15 Dec. 2005 doi: 10.1109/CDC.2005.1582398 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 25100 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 25 Aug 2011 21:39 | ||||||||||||
| Last Modified: | 09 Nov 2021 16:29 |
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