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Time-scaling symmetry and Zeno solutions

Schumacher,J.M.
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.
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2009
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Tilburg University Research Output Collection
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Schumacher, J M 2009, 'Time-scaling symmetry and Zeno solutions', Automatica, vol. 45, no. 5, pp. 1237-1242.
URI
https://hdl.handle.net/20.500.14602/51603
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