Title data
Grüne, Lars ; Kellett, Christopher M.:
Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems.
In:
MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. -
Groningen
: University of Groningen
,
2014
. - pp. 1023-1030
ISBN 978-90-367-6321-9
This is the latest version of this item.
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Project information
Project title: |
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Project financing: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Australien Research Council (ARC) Alexander-von-Humboldt Foundation |
Abstract in another language
Input-to-State Stability (ISS) and the ISS-Lyapunov 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 event-based control, lead to discontinuous discrete-time dynamics, we investigate ISS-Lyapunov functions for such systems. ISS-Lyapunov functions were originally introduced in a so-called implication-form and, in many cases, this has been shown to be equivalent to an ISS-Lyapunov function of dissipation-form. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implication-form ISS-Lyapunov which re-establishes the equivalence to dissipation-form ISS-Lyapunov functions and to the ISS property for discontinuous systems.
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Available Versions of this Item
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Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems. (deposited 18 Apr 2015 21:00)
- Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems. (deposited 27 Apr 2015 13:18) [Currently Displayed]