TY - GEN
T1 - Cascading effects in the moving Preisach model
AU - Rachinskii, Dmitrii
AU - Amann, Andreas
AU - Brokate, Martin
AU - McCarthy, Stephen P.
PY - 2013
Y1 - 2013
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.
UR - http://www.scopus.com/inward/record.url?scp=84883500171&partnerID=8YFLogxK
U2 - 10.1109/acc.2013.6580387
DO - 10.1109/acc.2013.6580387
M3 - Conference contribution
AN - SCOPUS:84883500171
SN - 9781479901777
T3 - Proceedings of the American Control Conference
SP - 3591
EP - 3598
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 -