A complete stability analysis of planar linear systems under saturation

Authors
Hu, TS Lin, ZL
Citation
Ts. Hu et Zl. Lin, A complete stability analysis of planar linear systems under saturation, IEEE CIRC-I, 47(4), 2000, pp. 498-512
Citations number
10
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
10577122 → ACNP
Volume
47
Issue
4
Year of publication
2000
Pages
498 - 512
Database
ISI
SICI code
1057-7122(200004)47:4<498:ACSAOP>2.0.ZU;2-P
Abstract
A complete stability analysis is performed on a planar system of the form ( x) over dot = sigma(Ax) where A is a Hurwitz matrix and a is the saturation function, Necessary and sufficient conditions for the system to be globall y asymptotically stable (GAS) or to have a closed trajectory are explicitly given in terms of the entries of A. These conditions also indicate that th e system always has a closed trajectory if it is not GAS.