| Issue |
ESAIM: COCV
Volume 15, Number 3, July-September 2009
|
|
|---|---|---|
| Page(s) | 599 - 625 | |
| DOI | https://doi.org/10.1051/cocv:2008046 | |
| Published online | 19 July 2008 | |
Control Lyapunov functions and stabilization by means of continuous time-varying feedback
1
Department of Environmental Engineering, Technical
University of Crete, 73100, Chania, Greece. ikarafyl@enveng.tuc.gr
2
Department of Mathematics, National Technical
University of Athens, Zografou Campus 15780, Athens, Greece. jtsin@central.ntua.gr
Received:
22
October
2007
Revised:
10
March
2008
For a general time-varying system, we prove that existence of an “Output Robust Control Lyapunov Function” implies existence of continuous time-varying feedback stabilizer, which guarantees output asymptotic stability with respect to the resulting closed-loop system. The main results of the present work constitute generalizations of a well known result due to Coron and Rosier [J. Math. Syst. Estim. Control 4 (1994) 67–84] concerning stabilization of autonomous systems by means of time-varying periodic feedback.
Mathematics Subject Classification: 93C10 / 93B52 / 93D09
Key words: Control Lyapunov Function / feedback stabilization / time-varying systems
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.