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 - ULiège > 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.
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