DocumentCode
2539465
Title
On the use of orbital symmetries and semi-invariants for the analysis of planar nonlinear systems
Author
Menini, Laura ; Tornambè, Antonio
Author_Institution
Dip. Inf., Sist. e Produzione, Univ. Roma Tor Vergata, Rome, Italy
fYear
2009
fDate
24-26 June 2009
Firstpage
139
Lastpage
144
Abstract
Semi-invariants can be used to study the trajectories of dynamical systems, and, in particular, to study the stability of the origin. The computation of semi-invariants can be based on orbital symmetries, which, in general, are hard to compute even for planar systems. The goal of this paper is to describe several classes of planar systems for which an orbital symmetries can be computed, and to illustrate what can be understood for such systems using the corresponding semi-invariants.
Keywords
control system analysis; nonlinear control systems; nonlinear dynamical systems; stability; dynamical system; orbital symmetry; planar nonlinear system analysis; semiinvariant computation; stability; Automatic control; Automation; Computational geometry; Control systems; Differential equations; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Automation, 2009. MED '09. 17th Mediterranean Conference on
Conference_Location
Thessaloniki
Print_ISBN
978-1-4244-4684-1
Electronic_ISBN
978-1-4244-4685-8
Type
conf
DOI
10.1109/MED.2009.5164529
Filename
5164529
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