DocumentCode
2242121
Title
Simple conditions for arbitrarily close deployment and equilibrium paths and quasistationary deployment
Author
Sultan, Cornel
Author_Institution
Aerosp. & Ocean Eng. Dept., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
1175
Lastpage
1179
Abstract
Sufficient conditions for the state space trajectory of a system of ordinary differential equations (ODEs) to be arbitrarily close to an equilibrium path and for the evolution of the system to be quasistationary are proved using basic topology and mathematical analysis concepts. The conditions are less conservative than previously derived ones based on Lyapunov functions.
Keywords
Lyapunov methods; asymptotic stability; differential equations; nonlinear control systems; state-space methods; topology; Lyapunov function; arbitrarily-close deployment; asymptotic stability; equilibrium path; mathematical analysis concept; nonlinear control system; ordinary differential equation; quasistationary deployment; state space trajectory; topology concept; Control systems; Differential equations; Lyapunov method; Mathematical analysis; State-space methods; Sufficient conditions; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738856
Filename
4738856
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