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.
• KEYWORDS: global stabilization, nonlinear systems, forwarding.
• STATUS: Published in IEEE Transactions on Automatic Control, vol. 44, no 9, pp. 1795-1800, 1999.

• Paper: PS file.