- Title
- Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems
- Creator
- Grüne, Lars; Kellett, Christopher M.
- Relation
- 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014). Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS) (Groningen, Netherlands 7-11 July, 2014) p. 1023-1030
- Relation
- ARC.FT1101000746
- Relation
- http://fwn06.housing.rug.nl/mtns/?page_id=38
- Publisher
- MTNS
- Resource Type
- conference paper
- Date
- 2014
- Description
- 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.
- Subject
- input-to-state stability (ISS); ISS-Lyapunov functions; nonlinear systems; discrete time systems
- Identifier
- http://hdl.handle.net/1959.13/1298127
- Identifier
- uon:19587
- Identifier
- ISBN:9789036763219
- Language
- eng
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