Regularization by External Variables
Date
2017
Authors
Jeffrey, M.
Glenndinning, P.
Edwards, Roderick
Webber, S.
Bossoline, E.
Journal Title
Journal ISSN
Volume Title
Publisher
Trends in Mathematics
Abstract
Regularization was a big topic at the 2016 CRM Intensive Research Pro-
gram 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.
Description
Keywords
Citation
Jeffrey, M., Glendinning, P., Edwards, R., Webber, S., & Bossoline, E. (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