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Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems.
In:
MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. -
Groningen
: University of Groningen
,
2014
. - S. 1031-1037
ISBN 978-90-367-6321-9
Dies ist die aktuelle Version des Eintrags.
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Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO DFG Priority Program 1305 "Control theory for digitally networked dynamical systems", Grant GR1569/11-2 |
|---|---|
| Projektfinanzierung: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft |
Abstract
We present a nonlinear Lyapunov function based small-gain theorem for analyzing input-to-state stability of discrete-time large-scale 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 input-to-state stability in this discontinuous setting, we utilize a recently introduced strong implication-form ISS-Lyapunov function.
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A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems. (deposited 18 Apr 2015 21:01)
- A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems. (deposited 27 Apr 2015 13:56) [Aktuelle Anzeige]