On Model Reduction of Polynomial Dynamical Systems
2005 (English)In: 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 1666-1671 p.Conference paper (Refereed)
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.
, IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS, ISSN 0191-2216
IdentifiersURN: urn:nbn:se:kth:diva-74675DOI: 10.1109/CDC.2005.1582398ISI: 000240653701109OAI: oai:DiVA.org:kth-74675DiVA: diva2:489810
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC). Seville, SPAIN. DEC 12-15, 2005
QC 201203052012-02-032012-02-032012-03-05Bibliographically approved