Title :
Stability and transient behavior of composite nonlinear systems
Author :
Araki, Mituhiko ; Kondo, Bunji
Author_Institution :
Kyoto University, Kyoto, Japan
fDate :
8/1/1972 12:00:00 AM
Abstract :
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.
Keywords :
Asymptotic stability; Interconnected systems; Lyapunov methods; Nonlinear systems, continuous-time; Asymptotic stability; Automatic control; Control system synthesis; Interconnected systems; Kalman filters; Milling machines; NASA; Nonlinear systems; Power system stability; Power system transients;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1100042