Sufficient conditions for the existence of an unbounded solution

Authors
Orsi, R Praly, L Mareels, I
Citation
R. Orsi et al., Sufficient conditions for the existence of an unbounded solution, AUTOMATICA, 37(10), 2001, pp. 1609-1617
Citations number
3
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
37
Issue
10
Year of publication
2001
Pages
1609 - 1617
Database
ISI
SICI code
0005-1098(200110)37:10<1609:SCFTEO>2.0.ZU;2-D
Abstract
Readily verifiable conditions under which a dynamical system of the form (x ) over dot = f(x) possesses an unbounded solution are presented. The result s are illustrated by showing they can be used to infer results about lack o f global stabilizability for nonlinear control systems. The key observation in the paper is that behaviour at infinity can be studied using local meth ods applied to an auxiliary system, (C) 2001 Elsevier Science Ltd. All righ ts reserved.