Title :
On the dual of Lyapunov´s second theorem
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Abstract :
A stability criterion for nonlinear systems is presented and can be viewed as a dual to Lyapunov´s second theorem. The criterion has a physical interpretation in terms of the stationary density of a substance that is generated in all points of the state space and flows along the system trajectories. If the stationary density is finite everywhere except at a singularity in the origin, then the system is stable in the sense that almost all trajectories converge towards the origin
Keywords :
duality (mathematics); nonlinear control systems; phase space methods; stability criteria; state-space methods; Lyapunov´s second theorem; singularity; stationary density; Astronomy; Costs; Differential equations; Gaussian processes; Kalman filters; Lyapunov method; Nonlinear systems; Potential energy; Stability criteria; State-space methods;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876687
