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On Model Reduction of Polynomial Dynamical Systems
Caltech, Control and Dynamical Systems.ORCID iD: 0000-0003-1835-2963
2005 (English)In: 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 1666-1671 p.Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. 1666-1671 p.
Series
IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS, ISSN 0191-2216
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-74675DOI: 10.1109/CDC.2005.1582398ISI: 000240653701109OAI: oai:DiVA.org:kth-74675DiVA: diva2:489810
Conference
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC). Seville, SPAIN. DEC 12-15, 2005
Note
QC 20120305Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-03-05Bibliographically approved

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Sandberg, Henrik

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