NONSMOOTH SIMULTANEOUS STABILIZATION OF NONLINEAR-SYSTEMS - AN INTERPOLATION METHOD

Citation
B. Homockqai et Wp. Dayawansa, NONSMOOTH SIMULTANEOUS STABILIZATION OF NONLINEAR-SYSTEMS - AN INTERPOLATION METHOD, Systems & control letters, 34(1-2), 1998, pp. 43-53
Citations number
16
Categorie Soggetti
Robotics & Automatic Control","Operatione Research & Management Science","Robotics & Automatic Control","Operatione Research & Management Science
Journal title
ISSN journal
01676911
Volume
34
Issue
1-2
Year of publication
1998
Pages
43 - 53
Database
ISI
SICI code
0167-6911(1998)34:1-2<43:NSSON->2.0.ZU;2-L
Abstract
In this paper, we introduce a method which enables us to construct a c ontinuous simultaneous stabilizer for pairs of systems in R-2 which ca nnot be simultaneously stabilized by means of C-1 feedback. We extend this method to higher-dimensional systems and show that any pair of as ymptotically stabilizable nonlinear systems can be simultaneously stab ilized (not asymptotically) by means of continuous feedback. (C) 1998 Elsevier Science B.V. All rights reserved.