On Model Reduction of Polynomial Dynamical Systems
(2005) p.1666-1671- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/535815
- author
- Prajna, Stephen and Sandberg, Henrik LU
- organization
- publishing date
- 2005
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the 44th IEEE Conference on Decision and Control and the 2005 European Control Conference
- pages
- 1666 - 1671
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:33847230948
- ISBN
- 0-7803-9568-9
- language
- English
- LU publication?
- yes
- id
- efc64dc9-ede6-494d-8b83-98e52e6319dc (old id 535815)
- alternative location
- http://ieeexplore.ieee.org/iel5/10559/33412/01582398.pdf?tp=&arnumber=1582398&isnumber=33412
- date added to LUP
- 2016-04-04 10:40:57
- date last changed
- 2022-01-29 20:42:17
@inproceedings{efc64dc9-ede6-494d-8b83-98e52e6319dc, 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.}}, author = {{Prajna, Stephen and Sandberg, Henrik}}, booktitle = {{Proceedings of the 44th IEEE Conference on Decision and Control and the 2005 European Control Conference}}, isbn = {{0-7803-9568-9}}, language = {{eng}}, pages = {{1666--1671}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{On Model Reduction of Polynomial Dynamical Systems}}, url = {{https://lup.lub.lu.se/search/files/5596542/625588.pdf}}, year = {{2005}}, }