Title data
Grüne, Lars ; Kellett, Christopher M.:
Strong implicationform ISSLyapunov functions for discontinuous discretetime systems.
In:
MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. 
Groningen
: University of Groningen
,
2014
.  pp. 10231030
ISBN 9789036763219
This is the latest version of this item.
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Project information
Project title: 
Project's official title Project's id MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735SADCO ARC Future Fellowship FT1101000746 Humboldt Research Fellowship ohne Angabe 

Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Australien Research Council (ARC) AlexandervonHumboldt Foundation 
Abstract in another language
InputtoState Stability (ISS) and the ISSLyapunov function have proved to be useful tools for the analysis and design of nonlinear systems in a variety of contexts. Motivated by the fact that many feedback control laws, such as model predictive control or eventbased control, lead to discontinuous discretetime dynamics, we investigate ISSLyapunov functions for such systems. ISSLyapunov functions were originally introduced in a socalled implicationform and, in many cases, this has been shown to be equivalent to an ISSLyapunov function of dissipationform. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implicationform ISSLyapunov which reestablishes the equivalence to dissipationform ISSLyapunov functions and to the ISS property for discontinuous systems.
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Strong implicationform ISSLyapunov functions for discontinuous discretetime systems. (deposited 18 Apr 2015 21:00)
 Strong implicationform ISSLyapunov functions for discontinuous discretetime systems. (deposited 27 Apr 2015 13:18) [Currently Displayed]