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

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › 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.

Original language	English
Title of host publication	IEEE Conference on Control Applications (CCA), 2015
Number of pages	6
Publisher	IEEE Press
Publication date	21 Sept 2015
Pages	1799 - 1804
ISBN (Electronic)	978-1-4799-7787-1
DOIs	https://doi.org/10.1109/CCA.2015.7320870
Publication status	Published - 21 Sept 2015
Event	2015 IEEE Multi-Conference on Systems and Control - Novotel Sydney Manly Pacific, Sydney, Australia Duration: 21 Sept 2015 → 23 Sept 2015

Conference

Conference	2015 IEEE Multi-Conference on Systems and Control
Location	Novotel Sydney Manly Pacific
Country/Territory	Australia
City	Sydney
Period	21/09/2015 → 23/09/2015

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

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title = "Investigation of Random Switching Driven by a Poisson Point Process",

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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language = "English",

series = "I E E E International Conference on Control Applications. Proceedings",

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Simonsen, M, Schiøler, H & Leth, J-J 2015, Investigation of Random Switching Driven by a Poisson Point Process. in IEEE Conference on Control Applications (CCA), 2015. IEEE Press, I E E E International Conference on Control Applications. Proceedings, pp. 1799 - 1804, 2015 IEEE Multi-Conference on Systems and Control, Sydney, Australia, 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. p. 1799 - 1804 (I E E E International Conference on Control Applications. Proceedings).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › 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

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PB - IEEE Press

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Y2 - 21 September 2015 through 23 September 2015

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Investigation of Random Switching Driven by a Poisson Point Process

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