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Regularization by External Variables

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Extended Abstracts Spring 2016

Part of the book series: Trends in Mathematics ((RPCRMB,volume 8))

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.

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References

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800, Kongens Lyngby, Denmark

    E. Bossolini

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 2Y2, Canada

    R. Edwards

  3. School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

    P. A. Glendinning

  4. Department of Engineering Mathematics, University of Bristol, Bristol, BS8 1UB, UK

    M. R. Jeffrey & S. Webber

Authors
  1. E. Bossolini
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  2. R. Edwards
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  3. P. A. Glendinning
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  4. M. R. Jeffrey
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  5. S. Webber
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Corresponding author

Correspondence to E. Bossolini .

Editor information

Editors and Affiliations

  1. DEIB, Politecnico di Milano , Milano, Italy

    Alessandro Colombo

  2. Department of Engineering Mathematics, University of Bristol , BRISTOL, Avon, United Kingdom

    Mike Jeffrey

  3. Departament de Matemàtiques, Universitat Politècnica de Catalunya , Barcelona, Spain

    J. Tomàs Lázaro

  4. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Josep M. Olm

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© 2017 Springer International Publishing AG

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Bossolini, E., Edwards, R., Glendinning, P.A., Jeffrey, M.R., Webber, S. (2017). Regularization by External Variables. In: Colombo, A., Jeffrey, M., Lázaro, J., Olm, J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics(), vol 8. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55642-0_4

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