Dissipativity and transformed systems
Dissipativity and transformed systems
We show the existence of a simple relation between the state of a continuous-time system, and its derivative, and the state of the transformed system in an orthonormal basis. We use such relation to prove that if the continuous-time system is dissipative, then the transformed one is also dissipative.
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf
Rapisarda, Paolo and Ohta, Yoshito
(2020)
Dissipativity and transformed systems.
In Proceedings 2021 Mathematical Theory of Networks and Systems Symposium, Cambridge, UK.
(In Press)
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Abstract
We show the existence of a simple relation between the state of a continuous-time system, and its derivative, and the state of the transformed system in an orthonormal basis. We use such relation to prove that if the continuous-time system is dissipative, then the transformed one is also dissipative.
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Accepted/In Press date: 2020
Venue - Dates:
24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2020), , Cambridge, United Kingdom, 2021-08-23 - 2021-08-27
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Local EPrints ID: 442054
URI: http://eprints.soton.ac.uk/id/eprint/442054
PURE UUID: 7dd30cd4-883a-41a3-920f-05e81d6d3010
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Date deposited: 06 Jul 2020 16:31
Last modified: 22 Feb 2023 20:38
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Contributors
Author:
Paolo Rapisarda
Author:
Yoshito Ohta
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