On stochastic port-hamiltonian systems with boundary control and observation

F. Lamoline; J. J. Winkin

doi:10.1109/cdc.2017.8264015

On stochastic port-hamiltonian systems with boundary control and observation

F. Lamoline, J. J. Winkin

University of Namur

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

Abstract

Stochastic port-Hamiltonian systems on infinite-dimensional spaces governed by Ito stochastic differential equations (SDEs) are introduced and some properties of this new class of systems are studied. They are a stochastic counterpart of boundary controlled port-Hamiltonian systems. The noise process is modelized as a Hilbert space-valued stochastic integral w.r.t. a Wiener process. The theory is illustrated on an example of a vibrating string with an element of randomness.

Original language	English
Title of host publication	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2492-2497
Number of pages	6
Volume	2018-January
ISBN (Electronic)	9781509028733
DOIs	https://doi.org/10.1109/cdc.2017.8264015
Publication status	Published - 18 Jan 2018
Event	56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017

Conference

Conference	56th IEEE Annual Conference on Decision and Control, CDC 2017
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 15/12/17

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10.1109/cdc.2017.8264015

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title = "On stochastic port-hamiltonian systems with boundary control and observation",

abstract = "Stochastic port-Hamiltonian systems on infinite-dimensional spaces governed by Ito stochastic differential equations (SDEs) are introduced and some properties of this new class of systems are studied. They are a stochastic counterpart of boundary controlled port-Hamiltonian systems. The noise process is modelized as a Hilbert space-valued stochastic integral w.r.t. a Wiener process. The theory is illustrated on an example of a vibrating string with an element of randomness.",

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Lamoline, F & Winkin, JJ 2018, On stochastic port-hamiltonian systems with boundary control and observation. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 2492-2497, 56th IEEE Annual Conference on Decision and Control, CDC 2017, Melbourne, Australia, 12/12/17. https://doi.org/10.1109/cdc.2017.8264015

On stochastic port-hamiltonian systems with boundary control and observation. / Lamoline, F.; Winkin, J. J.

2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. p. 2492-2497.

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

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N2 - Stochastic port-Hamiltonian systems on infinite-dimensional spaces governed by Ito stochastic differential equations (SDEs) are introduced and some properties of this new class of systems are studied. They are a stochastic counterpart of boundary controlled port-Hamiltonian systems. The noise process is modelized as a Hilbert space-valued stochastic integral w.r.t. a Wiener process. The theory is illustrated on an example of a vibrating string with an element of randomness.

AB - Stochastic port-Hamiltonian systems on infinite-dimensional spaces governed by Ito stochastic differential equations (SDEs) are introduced and some properties of this new class of systems are studied. They are a stochastic counterpart of boundary controlled port-Hamiltonian systems. The noise process is modelized as a Hilbert space-valued stochastic integral w.r.t. a Wiener process. The theory is illustrated on an example of a vibrating string with an element of randomness.

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M3 - Conference contribution

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VL - 2018-January

SP - 2492

EP - 2497

BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 56th IEEE Annual Conference on Decision and Control, CDC 2017

Y2 - 12 December 2017 through 15 December 2017

ER -

On stochastic port-hamiltonian systems with boundary control and observation

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