Lyapunov functions for stable cascades and applications to global stabilization

Authors
Mazenc, F Sepulchre, R Jankovic, M
Citation
F. Mazenc et al., Lyapunov functions for stable cascades and applications to global stabilization, IEEE AUTO C, 44(9), 1999, pp. 1795-1800
Citations number
16
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
44
Issue
9
Year of publication
1999
Pages
1795 - 1800
Database
ISI
SICI code
0018-9286(199909)44:9<1795:LFFSCA>2.0.ZU;2-W
Abstract
This paper generalizes recent Lyapunov constructions for a cascade of two n onlinear systems, one of which is stable rather than asymptotically stable. A new cross-term construction in the Lyapunov function allows us to replac e earlier growth conditions by a necessary boundedness condition. This meth od is instrumental in the global stabilization of feedforward systems, and new stabilization results are derived from the generalized construction.