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
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;
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
DOI :
10.1109/MED.2009.5164529
