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On Model Reduction of Polynomial Dynamical Systems

Prajna, Stephen and Sandberg, Henrik LU (2005) In Proceedings of the 44th IEEE Conference on Decision and Control and the 2005 European Control Conference 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:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
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
2007-09-24 16:01:23
date last changed
2017-01-01 07:59:07
@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},
  year         = {2005},
}