DocumentCode
2183353
Title
Finite order representations of infinite dimensional bilinear models of nonlinear systems
Author
Starkl, R. ; Re, L. Del
Author_Institution
Inst. of Autom. Control & Electr. Drives, Johannes Kepler Univ., Linz, Austria
Volume
1
fYear
2003
fDate
4-6 June 2003
Firstpage
131
Abstract
We show that QLS (quadratic linear systems) yield an exact representation of nonlinear, quadratic integrable input affine system as bilinear models do. However, the QLS representation is shown to be finite dimensional in most cases, while the bilinear system usually requires an infinite dimension. The dimension of the bilinear model is never lower than the dimension of the QLS model. This paper gives sufficient conditions for a finite dimensional representation.
Keywords
approximation theory; bilinear systems; linear quadratic control; linear systems; multidimensional systems; bilinear system; finite dimensional; finite order representations; infinite dimensional bilinear models; nonlinear integrable input affine system; nonlinear systems; quadratic integrable input affine system; quadratic linear systems; sufficient conditions; Analytical models; Automatic control; Ear; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Sufficient conditions; Taylor series;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2003. Proceedings of the 2003
ISSN
0743-1619
Print_ISBN
0-7803-7896-2
Type
conf
DOI
10.1109/ACC.2003.1238926
Filename
1238926
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