Lyapunov functions for stable cascades and applications to global stabilization
- AUTHORS: F. Mazenc, R. Sepulchre, M. Jankovic.
- ABSTRACT: 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 boundedness condition. This method is instrumental in the global stabilization of feedforward systems
and new stabilization results are derived from the generalized construction.
global stabilization, nonlinear systems, forwarding.
- STATUS: Published in IEEE
Transactions on Automatic Control, vol. 44, no 9, pp. 1795-1800,