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On Lyapunov functions and data-driven dissipativity

On Lyapunov functions and data-driven dissipativity
On Lyapunov functions and data-driven dissipativity
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.
2405-8963
7783-7788
Maupong, Thabiso, Mphoobuile
72ad3e98-f5d0-4417-9b23-89f2c5d774f3
Mayo-Maldonado, Jonathan C.
c79a2146-61b5-4b79-b6e5-6445f3b71def
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Maupong, Thabiso, Mphoobuile
72ad3e98-f5d0-4417-9b23-89f2c5d774f3
Mayo-Maldonado, Jonathan C.
c79a2146-61b5-4b79-b6e5-6445f3b71def
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Maupong, Thabiso, Mphoobuile, Mayo-Maldonado, Jonathan C. and Rapisarda, Paolo (2017) On Lyapunov functions and data-driven dissipativity. IFAC-PapersOnLine, 7783-7788. (doi:10.1016/j.ifacol.2017.08.1052).

Record type: Article

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.

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IFAC2017 - Accepted Manuscript
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Accepted/In Press date: 28 February 2017
e-pub ahead of print date: 18 October 2017
Venue - Dates: 20th IFAC World congress, France, 2017-07-09 - 2017-07-14
Organisations: Vision, Learning and Control, Electronics & Computer Science

Identifiers

Local EPrints ID: 410759
URI: http://eprints.soton.ac.uk/id/eprint/410759
ISSN: 2405-8963
PURE UUID: 52418ba1-3702-4e2a-a9a4-24a11fd6d04a

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Date deposited: 09 Jun 2017 09:34
Last modified: 07 Oct 2020 05:35

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