Time-scaling symmetry and Zeno solutions

J.M. Schumacher

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Symmetries are often helpful in reducing the complexity of the analysis of dynamical systems. Here we discuss a symmetry that combines a transformation in space with a scaling of time. Examples are given of a number of nonsmooth dynamical systems in which a symmetry of this type occurs. The time-scaling symmetry can be combined with return mapping analysis to achieve a dimension reduction in addition to the one already obtained from considering the return map. The method is applied in a study of Zeno behavior in linear systems with relay feedback.
Original languageEnglish
Pages (from-to)1237-1242
JournalAutomatica
Volume45
Issue number5
Publication statusPublished - 2009

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Schumacher, J. M. (2009). Time-scaling symmetry and Zeno solutions. Automatica, 45(5), 1237-1242.
Schumacher, J.M. / Time-scaling symmetry and Zeno solutions. In: Automatica. 2009 ; Vol. 45, No. 5. pp. 1237-1242.
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Schumacher, JM 2009, 'Time-scaling symmetry and Zeno solutions', Automatica, vol. 45, no. 5, pp. 1237-1242.

Time-scaling symmetry and Zeno solutions. / Schumacher, J.M.

In: Automatica, Vol. 45, No. 5, 2009, p. 1237-1242.

Research output: Contribution to journalArticleScientificpeer-review

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Schumacher JM. Time-scaling symmetry and Zeno solutions. Automatica. 2009;45(5):1237-1242.