Cascading effects in the moving Preisach model

Dmitrii Rachinskii; Andreas Amann; Martin Brokate; Stephen P. McCarthy

doi:10.1109/acc.2013.6580387

Cascading effects in the moving Preisach model

Dmitrii Rachinskii, Andreas Amann, Martin Brokate, Stephen P. McCarthy

Chair of Numerical Mathematics and Control Theory

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider jumps in the input-output relationship of a system composed of a Preisach hysteretic transducer and a mean-field type global positive feedback loop. The discontinuities are induced by the feedback loop, which promotes avalanches of cascading flips of the independent domains (spins) in the Preisach model in response to a monotone variation of the input after a moment τ₀. We discuss the locations of the avalanches and formulate an Equal Area Rule, which defines their size. Under the assumption that the history of the system prior to the moment τ₀ has been formed by a stochastic input process, the state of the system at the moment τ₀ and hence the location and size of the avalanches after this moment become random variables. We present several examples of their distribution.

Original language	English
Title of host publication	2013 American Control Conference, ACC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3591-3598
Number of pages	8
ISBN (Print)	9781479901777
DOIs	https://doi.org/10.1109/acc.2013.6580387
State	Published - 2013
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: 17 Jun 2013 → 19 Jun 2013

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2013 1st American Control Conference, ACC 2013
Country/Territory	United States
City	Washington, DC
Period	17/06/13 → 19/06/13

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10.1109/acc.2013.6580387

Cite this

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title = "Cascading effects in the moving Preisach model",

abstract = "We consider jumps in the input-output relationship of a system composed of a Preisach hysteretic transducer and a mean-field type global positive feedback loop. The discontinuities are induced by the feedback loop, which promotes avalanches of cascading flips of the independent domains (spins) in the Preisach model in response to a monotone variation of the input after a moment τ0. We discuss the locations of the avalanches and formulate an Equal Area Rule, which defines their size. Under the assumption that the history of the system prior to the moment τ0 has been formed by a stochastic input process, the state of the system at the moment τ0 and hence the location and size of the avalanches after this moment become random variables. We present several examples of their distribution.",

author = "Dmitrii Rachinskii and Andreas Amann and Martin Brokate and McCarthy, {Stephen P.}",

year = "2013",

doi = "10.1109/acc.2013.6580387",

language = "English",

isbn = "9781479901777",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3591--3598",

booktitle = "2013 American Control Conference, ACC 2013",

note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",

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Rachinskii, D, Amann, A, Brokate, M & McCarthy, SP 2013, Cascading effects in the moving Preisach model. in 2013 American Control Conference, ACC 2013., 6580387, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 3591-3598, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 17/06/13. https://doi.org/10.1109/acc.2013.6580387

Cascading effects in the moving Preisach model. / Rachinskii, Dmitrii; Amann, Andreas; Brokate, Martin et al.
2013 American Control Conference, ACC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 3591-3598 6580387 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Cascading effects in the moving Preisach model

AU - Rachinskii, Dmitrii

AU - Amann, Andreas

AU - Brokate, Martin

AU - McCarthy, Stephen P.

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N2 - We consider jumps in the input-output relationship of a system composed of a Preisach hysteretic transducer and a mean-field type global positive feedback loop. The discontinuities are induced by the feedback loop, which promotes avalanches of cascading flips of the independent domains (spins) in the Preisach model in response to a monotone variation of the input after a moment τ0. We discuss the locations of the avalanches and formulate an Equal Area Rule, which defines their size. Under the assumption that the history of the system prior to the moment τ0 has been formed by a stochastic input process, the state of the system at the moment τ0 and hence the location and size of the avalanches after this moment become random variables. We present several examples of their distribution.

AB - We consider jumps in the input-output relationship of a system composed of a Preisach hysteretic transducer and a mean-field type global positive feedback loop. The discontinuities are induced by the feedback loop, which promotes avalanches of cascading flips of the independent domains (spins) in the Preisach model in response to a monotone variation of the input after a moment τ0. We discuss the locations of the avalanches and formulate an Equal Area Rule, which defines their size. Under the assumption that the history of the system prior to the moment τ0 has been formed by a stochastic input process, the state of the system at the moment τ0 and hence the location and size of the avalanches after this moment become random variables. We present several examples of their distribution.

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T3 - Proceedings of the American Control Conference

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BT - 2013 American Control Conference, ACC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2013 1st American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -

Cascading effects in the moving Preisach model

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