DocumentCode :
3314895
Title :
On the generation of classes of planar systems with given orbital symmetries
Author :
Menini, Laura ; Tornambé, Antonio
Author_Institution :
Dipt. di Inf., Sist. e Produzione, Univ. di Roma Tor Vergata, Rome, Italy
fYear :
2009
fDate :
15-18 Dec. 2009
Firstpage :
7442
Lastpage :
7447
Abstract :
Following the procedure used by Kamke, on the basis of the concepts of symmetry and orbital symmetry introduced by S. Lie, aim of this paper is to extend such a reasoning to classify systems for which the semi-invariants can be computed in closed-form, whence possibly used for the computation of Lyapunov functions as well. The concept of semi-invariant extends both the concept of first integral (a constant of motion) and the concept of eigenfunction, whence it seems to be the natural tool for the construction of Lyapunov functions for nonlinear systems.
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; nonlinear control systems; Kamke; Lyapunov functions; eigenfunction; nonlinear systems; orbital symmetries; planar systems; semiinvariants; Computer languages; Differential equations; Eigenvalues and eigenfunctions; Hydrogen; Lyapunov method; Motion analysis; Nonlinear systems; Polynomials; Stability analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
ISSN :
0191-2216
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2009.5400717
Filename :
5400717
Link To Document :
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