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 language | English |
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| Pages (from-to) | 1237-1242 |
| Journal | Automatica |
| Volume | 45 |
| Issue number | 5 |
| Publication status | Published - 2009 |