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