Constrained stabilization via smooth Lyapunov functions

Authors
Blanchini, F Miani, S
Citation
F. Blanchini et S. Miani, Constrained stabilization via smooth Lyapunov functions, SYST CONTR, 35(3), 1998, pp. 155-163
Citations number
24
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
SYSTEMS & CONTROL LETTERS
ISSN journal
01676911 → ACNP
Volume
35
Issue
3
Year of publication
1998
Pages
155 - 163
Database
ISI
SICI code
0167-6911(19981019)35:3<155:CSVSLF>2.0.ZU;2-6
Abstract
We consider the problem of stabilizing a dynamic system by means of bounded controls. We show that the largest domain of attraction can be arbitrarily closely approximated by a "smooth" domain of attraction for which we provi de an analytic expression. Such an expression allows for the determination of a (non-linear) control law in explicit form. (C) 1998 Elsevier Science B .V. All rights reserved.