CUED Publications database

Lyapunov functions for stable cascades and applications to global stabilization

Mazenc, F and Sepulchre, R and Jankovic, M (1999) Lyapunov functions for stable cascades and applications to global stabilization. IEEE Transactions on Automatic Control, 44. pp. 1795-1800. ISSN 0018-9286

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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 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.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 08 Dec 2014 02:25
DOI: 10.1109/9.788556