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.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Mazenc, F.; Imperial College of Science, Technology, and Medicine > Centre for Process Systems Engineering
Sepulchre, Rodolphe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Jankovic, M.; Ford Scientific Research Laboratories, Dearborn, MI (USA)
Language :
English
Title :
Lyapunov functions for stable cascades and applications to global stabilization
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