DocumentCode
1551119
Title
Lyapunov functions for stable cascades and applications to global stabilization
Author
Mazenc, F. ; Sepulchre, R. ; Jankovic, M.
Author_Institution
Centre for Process Syst. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
Volume
44
Issue
9
fYear
1999
fDate
9/1/1999 12:00:00 AM
Firstpage
1795
Lastpage
1800
Abstract
Generalizes Lyapunov constructions for a cascade of two nonlinear systems, one of which is stable rather than asymptotically stable. A new cross-term construction in the Lyapunov function allows us to replace earlier growth conditions by a necessary boundedness condition. This method is instrumental in the global stabilization of feedforward systems, and new stabilization results are derived from the generalized construction
Keywords
Lyapunov methods; asymptotic stability; cascade systems; feedforward; nonlinear control systems; Lyapunov functions; cross-term construction; feedforward systems; global stabilization; necessary boundedness condition; stable cascades; Asymptotic stability; Control systems; Feedforward systems; Instruments; Jacobian matrices; Linear feedback control systems; Linear systems; Lyapunov method; Nonlinear systems; Systems engineering and theory;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.788556
Filename
788556
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