On the dual of Lyapunov's second theorem
Författare
Summary, in English
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
Avdelning/ar
Publiceringsår
2000
Språk
Engelska
Sidor
1186-1189
Publikation/Tidskrift/Serie
Proceedings of the 2000 American Control Conference
Volym
2
Dokumenttyp
Konferensbidrag
Förlag
IEEE - Institute of Electrical and Electronics Engineers Inc.
Ämne
- Control Engineering
Nyckelord
- state-space methods
- stability criteria
- phase space methods
- duality (mathematics)
- nonlinear control systems
Status
Published
ISBN/ISSN/Övrigt
- ISBN: 0-7803-5519-9