Stability and transient behavior of composite nonlinear systems

Stability and transient behavior of composite nonlinear systems

A sufficient condition for asymptotic stability in the large is proposed for nonlinear systems. It is applicable if the system in question can be decomposed into subsystems, if appropriate Lyapunov functions are obtained for the subsystems, and if the connections between subsystems have bounded dc g...

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Veröffentlicht in:IEEE transactions on automatic control 1972-08, Vol.17 (4), p.537-541
Hauptverfasser: Araki, M., Kondo, B.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Automatic control
Control system synthesis
Interconnected systems
Kalman filters
Milling machines
NASA
Nonlinear systems
Power system stability
Power system transients
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Zusammenfassung:A sufficient condition for asymptotic stability in the large is proposed for nonlinear systems. It is applicable if the system in question can be decomposed into subsystems, if appropriate Lyapunov functions are obtained for the subsystems, and if the connections between subsystems have bounded dc gains. It is generally less restrictive than the condition previously presented by Bailey for similar systems. An estimate of transient behavior, together with the stability condition, is also given.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1972.1100042