Reference : Lyapunov functions for stable cascades and applications to global stabilization
Scientific journals : Article
Engineering, computing & technology : Electrical & electronics engineering
Lyapunov functions for stable cascades and applications to global stabilization
Mazenc, F. [Imperial College of Science, Technology, and Medicine > Centre for Process Systems Engineering > > >]
Sepulchre, Rodolphe mailto [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
Jankovic, M. [Ford Scientific Research Laboratories, Dearborn, MI (USA) > > > >]
IEEE Transactions on Automatic Control
Yes (verified by ORBi)
[en] global stabilization ; nonlinear systems ; forwarding
[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.
© IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

File(s) associated to this reference

Fulltext file(s):

Open access
MSJ99.pdfAuthor preprint6.83 MBView/Open

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.