Reference : Lyapunov functions for stable cascades and applications to global stabilization

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering
	To cite this reference:	http://hdl.handle.net/2268/78061

Title :	Lyapunov functions for stable cascades and applications to global stabilization
Language :	English
Author, co-author :	Mazenc, F. [Imperial College of Science, Technology, and Medicine > Centre for Process Systems Engineering > > >]
	Sepulchre, Rodolphe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
	Jankovic, M. [Ford Scientific Research Laboratories, Dearborn, MI (USA) > > > >]
Publication date :	1999
Journal title :	IEEE Transactions on Automatic Control
Publisher :	IEEE
Volume :	44
Issue/season :	9
Pages :	1795-1800
ISSN :	0018-9286
City :	Piscataway
Country :	NJ
Keywords :	[en] global stabilization ; nonlinear systems ; forwarding
Abstract :	[en] This paper generalizes recent Lyapunov constructions for a cascade of two nonlinear systems one of which is stable rather than asymptotically stable. A new a cross term construction in the Lyapunov function allows us to replace earlier growth conditions by a necessary boudedness condition. This method is instrumental in the global stabilization of feedforward systems and new stabilization results are derived from the generalized construction.
Permalink :	http://hdl.handle.net/2268/78061
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