Title data
Grüne, Lars ; Kellett, Christopher M.:
ISSLyapunov functions for discontinuous discretetime systems.
Department of Mathematics, University of Bayreuth
In: IEEE Transactions on Automatic Control.
Vol. 59
(2014)
Issue 11
.
 pp. 30983103.
ISSN 15582523
DOI: https://doi.org/10.1109/TAC.2014.2321667
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InputtoState Stability (ISS) and the ISSLyapunov function are useful tools for the analysis and design of nonlinear systems. 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 implication form and, in many cases, this has been shown to be equivalent to an ISSLyapunov function of dissipative form. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implication form ISSLyapunov function and provide a complete characterization of ISSLyapunov functions for discretetime systems with discontinuous dynamics.
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ISSLyapunov functions for discontinuous discretetime systems. (deposited 18 Apr 2015 21:00)
 ISSLyapunov functions for discontinuous discretetime systems. (deposited 27 Apr 2015 14:43) [Currently Displayed]