Title :
Simple conditions for arbitrarily close deployment and equilibrium paths and quasistationary deployment
Author_Institution :
Aerosp. & Ocean Eng. Dept., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
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;
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.2008.4738856
