Title :
On the use of semi-invariants for the stability analysis of planar systems
Author :
Menini, Laura ; Tornambè, Antonio
Author_Institution :
Dip. Inf., Univ. di Roma Tor Vergata, Rome, Italy
Abstract :
This paper is concerned with the concept of semi-invariant and its use for the stability analysis of the origin for nonlinear systems of order two. Well known tools from differential geometry such as (orbital) symmetries render the proposed results quite interesting from a computational point of view. The proper connections with center manifold theory are pointed out.
Keywords :
geometry; nonlinear systems; stability; center manifold theory; differential geometry; nonlinear systems; planar systems; stability analysis; Computational geometry; Control systems; Differential equations; Integral equations; Linear systems; Lyapunov method; Nonlinear systems; Polynomials; Stability analysis; Transmission line matrix methods;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738657
