Investigation of Random Switching Driven by a Poisson Point Process

Maria Simonsen; Henrik Schiøler; John-Josef Leth

doi:10.1109/CCA.2015.7320870

Investigation of Random Switching Driven by a Poisson Point Process

Maria Simonsen, Henrik Schiøler, John-Josef Leth

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

Abstract

This paper investigates the switching mechanism of a two-dimensional switched system, when the switching events are generated by a Poisson point process.
A model, in the shape of a stochastic process, for such a system is derived and the distribution of the trajectory's position is developed together with marginal density functions for the coordinate functions. Furthermore, the joint probability distribution is given explicitly.

Originalsprog	Engelsk
Titel	IEEE Conference on Control Applications (CCA), 2015
Antal sider	6
Forlag	IEEE Press
Publikationsdato	21 sep. 2015
Sider	1799 - 1804
ISBN (Elektronisk)	978-1-4799-7787-1
DOI	https://doi.org/10.1109/CCA.2015.7320870
Status	Udgivet - 21 sep. 2015
Begivenhed	2015 IEEE Multi-Conference on Systems and Control - Novotel Sydney Manly Pacific, Sydney, Australien Varighed: 21 sep. 2015 → 23 sep. 2015

Konference

Konference	2015 IEEE Multi-Conference on Systems and Control
Lokation	Novotel Sydney Manly Pacific
Land/Område	Australien
By	Sydney
Periode	21/09/2015 → 23/09/2015

Navn	I E E E International Conference on Control Applications. Proceedings
ISSN	1085-1992

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10.1109/CCA.2015.7320870

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abstract = "This paper investigates the switching mechanism of a two-dimensional switched system, when the switching events are generated by a Poisson point process. A model, in the shape of a stochastic process, for such a system is derived and the distribution of the trajectory's position is developed together with marginal density functions for the coordinate functions. Furthermore, the joint probability distribution is given explicitly. ",

author = "Maria Simonsen and Henrik Schi{\o}ler and John-Josef Leth",

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doi = "10.1109/CCA.2015.7320870",

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publisher = "IEEE Press",

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Simonsen, M, Schiøler, H & Leth, J-J 2015, Investigation of Random Switching Driven by a Poisson Point Process. i IEEE Conference on Control Applications (CCA), 2015. IEEE Press, I E E E International Conference on Control Applications. Proceedings, s. 1799 - 1804, 2015 IEEE Multi-Conference on Systems and Control, Sydney, Australien, 21/09/2015. https://doi.org/10.1109/CCA.2015.7320870

Investigation of Random Switching Driven by a Poisson Point Process. / Simonsen, Maria; Schiøler, Henrik ; Leth, John-Josef.
IEEE Conference on Control Applications (CCA), 2015. IEEE Press, 2015. s. 1799 - 1804 (I E E E International Conference on Control Applications. Proceedings).

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

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N2 - This paper investigates the switching mechanism of a two-dimensional switched system, when the switching events are generated by a Poisson point process. A model, in the shape of a stochastic process, for such a system is derived and the distribution of the trajectory's position is developed together with marginal density functions for the coordinate functions. Furthermore, the joint probability distribution is given explicitly.

AB - This paper investigates the switching mechanism of a two-dimensional switched system, when the switching events are generated by a Poisson point process. A model, in the shape of a stochastic process, for such a system is derived and the distribution of the trajectory's position is developed together with marginal density functions for the coordinate functions. Furthermore, the joint probability distribution is given explicitly.

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DO - 10.1109/CCA.2015.7320870

M3 - Article in proceeding

T3 - I E E E International Conference on Control Applications. Proceedings

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PB - IEEE Press

T2 - 2015 IEEE Multi-Conference on Systems and Control

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Investigation of Random Switching Driven by a Poisson Point Process

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