Title data
Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear smallgain theorem for discontinuous discretetime largescale systems.
In:
MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. 
Groningen
: University of Groningen
,
2014
.  pp. 10311037
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 DFG Priority Program 1305 "Control theory for digitally networked dynamical systems", Grant GR1569/112 

Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft 
Abstract in another language
We present a nonlinear Lyapunov function based smallgain theorem for analyzing inputtostate stability of discretetime largescale systems. Motivated by the fact that many feedback control laws lead to discontinuous closed loop systems, we pose no continuity assumptions on the system dynamics. For characterizing inputtostate stability in this discontinuous setting, we utilize a recently introduced strong implicationform ISSLyapunov function.
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A Lyapunov based nonlinear smallgain theorem for discontinuous discretetime largescale systems. (deposited 18 Apr 2015 21:01)
 A Lyapunov based nonlinear smallgain theorem for discontinuous discretetime largescale systems. (deposited 27 Apr 2015 13:56) [Currently Displayed]