Regularization by External Variables

Elena Bossolini; R. Edwards; P. A. Glendinning; M. R. Jeffrey; S. Webber

doi:10.1007/978-3-319-55642-0_4

Regularization by External Variables

Elena Bossolini, R. Edwards, P. A. Glendinning, M. R. Jeffrey, S. Webber

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

Abstract

Regularization was a big topic at the 2016 CRM Intensive Research Program on Advances in Nonsmooth Dynamics. There are many open questions concerning well known kinds of regularization (e.g., by smoothing or hysteresis). Here, we propose a framework for an alternative and important kind of regularization, by external variables that shadow either the state or the switch of the original system. The shadow systems are derived from and inspired by various applications in electronic control, predator-prey preference, time delay, and genetic regulation.

Original language	English
Title of host publication	Extended Abstracts Spring 2016 : Nonsmooth Dynamics
Editors	Alessandro Colombo, J. Tomàs Lázaro, Mike Jeffrey, Josep M. Olm
Publisher	Springer
Publication date	2016
Pages	19-24
ISBN (Print)	978-3-319-55641-3
DOIs	https://doi.org/10.1007/978-3-319-55642-0_4
Publication status	Published - 2016
Event	Intensive Research Program on Advances in Nonsmooth Dynamics 2016 - Centre de Recerca Matemàtica , Barcelona, Spain Duration: 1 Feb 2016 → 29 Apr 2016

Seminar

Seminar	Intensive Research Program on Advances in Nonsmooth Dynamics 2016
Location	Centre de Recerca Matemàtica
Country/Territory	Spain
City	Barcelona
Period	01/02/2016 → 29/04/2016

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10.1007/978-3-319-55642-0_4

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title = "Regularization by External Variables",

abstract = "Regularization was a big topic at the 2016 CRM Intensive Research Program on Advances in Nonsmooth Dynamics. There are many open questions concerning well known kinds of regularization (e.g., by smoothing or hysteresis). Here, we propose a framework for an alternative and important kind of regularization, by external variables that shadow either the state or the switch of the original system. The shadow systems are derived from and inspired by various applications in electronic control, predator-prey preference, time delay, and genetic regulation.",

author = "Elena Bossolini and R. Edwards and Glendinning, {P. A.} and Jeffrey, {M. R.} and S. Webber",

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booktitle = "Extended Abstracts Spring 2016",

publisher = "Springer",

note = "Intensive Research Program on Advances in Nonsmooth Dynamics 2016 ; Conference date: 01-02-2016 Through 29-04-2016",

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Bossolini, E, Edwards, R, Glendinning, PA, Jeffrey, MR & Webber, S 2016, Regularization by External Variables. in A Colombo, JT Lázaro, M Jeffrey & JM Olm (eds), Extended Abstracts Spring 2016: Nonsmooth Dynamics. Springer, pp. 19-24, Intensive Research Program on Advances in Nonsmooth Dynamics 2016, Barcelona, Spain, 01/02/2016. https://doi.org/10.1007/978-3-319-55642-0_4

Regularization by External Variables. / Bossolini, Elena; Edwards, R.; Glendinning, P. A. et al.
Extended Abstracts Spring 2016: Nonsmooth Dynamics. ed. / Alessandro Colombo; J. Tomàs Lázaro; Mike Jeffrey; Josep M. Olm. Springer, 2016. p. 19-24.

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

TY - ABST

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PB - Springer

T2 - Intensive Research Program on Advances in Nonsmooth Dynamics 2016

Y2 - 1 February 2016 through 29 April 2016

ER -

Regularization by External Variables

Abstract

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