On Lyapunov functions and data-driven dissipativity
By Thabiso M. Maupong, J. C. Mayo-Maldonado, Paolo Rapisarda. 2017
60 citations recorded by the source corpus.
Abstract Our contribution in this paper is twofold. In the first part, we study Lyapunov functions when a plant is interconnected with a dissipative stabilizing controller. In the second, we present results on data-driven approach to dissipative systems. In particular, we provide conditions under which an observed trajectory can be used to determine whether a system is dissipative with respect to a given supply rate. Our results are based on linear difference systems for which the use of quadratic difference forms play a central role for dissipativity and Lyapunov theory.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/359a13d7c5e16e2c0ca2442dacccfdac20f3b5fb
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In Control and Systems Engineering
- M. Kanat Camlibel
- Henk J. van Waarde
- Harry L. Trentelman
- Paolo Rapisarda
- Jaap Eising
- Florian Dörfler
- Ivan Markovsky
Citations in the corpus
- Data-Driven Dissipativity Analysis: Application of the Matrix S-Lemma (2021, background): “The most relevant references for the problem studied in this paper are [17], [18], [19].”
- Data Informativity: A New Perspective on Data-Driven Analysis and Control (2019, background): “Moreover, the problem of verifying dissipativity on the basis of measured system trajectories has been studied in [33]–[36].”