DocumentCode
2048191
Title
A generalization of Poincare´s theorem to hybrid and impulsive dynamical systems
Author
Nersesov, Sergey G. ; Chellaboina, VijaySekhar ; Haddad, Wassim M.
Author_Institution
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Volume
2
fYear
2002
fDate
2002
Firstpage
1240
Abstract
Poincare´s method is well known for analyzing the stability of continuous-time dynamical systems with periodic solutions by studying the stability properties of a fixed point as an equilibrium point of a discrete-time system. In this paper we generalize Poincare´s method to dynamical systems possessing left-continuous flows to address the stability of limit cycles and periodic orbits of left-continuous, hybrid, and impulsive dynamical systems.
Keywords
discrete time systems; limit cycles; periodic control; stability; time-varying systems; Poincare theorem; continuous-time dynamical systems; discrete-time system; hybrid impulsive dynamical systems; left-continuous dynamical systems; left-continuous flows; limit cycles; periodic orbits; periodic solutions; stability analysis; Aerospace engineering; Limit-cycles; Mechanical factors; Nonlinear systems; Orbits; Stability analysis; State-space methods; Sufficient conditions; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2002. Proceedings of the 2002
ISSN
0743-1619
Print_ISBN
0-7803-7298-0
Type
conf
DOI
10.1109/ACC.2002.1023189
Filename
1023189
Link To Document