OUTPUT-TO-STATE STABILITY AND DETECTABILITY OF NONLINEAR-SYSTEMS

Authors
Citation
Ed. Sontag et Y. Wang, OUTPUT-TO-STATE STABILITY AND DETECTABILITY OF NONLINEAR-SYSTEMS, Systems & control letters, 29(5), 1997, pp. 279-290
Citations number
26
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
ISSN journal
01676911
Volume
29
Issue
5
Year of publication
1997
Pages
279 - 290
Database
ISI
SICI code
0167-6911(1997)29:5<279:OSADON>2.0.ZU;2-E
Abstract
The notion of input-to-state stability (ISS) has proved to be useful i n nonlinear systems analysis. This paper discusses a dual notion, outp ut-to-state stability (OSS). A characterization is provided in terms o f a dissipation inequality involving storage (Lyapunov) functions. Com bining ISS and OSS there results the notion of input/output-to-state s tability (IOSS), which is also studied and related to the notion of de tectability, the existence of observers, and output injection.