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Continuous selections of trajectories of hybrid systems

✍ Scribed by Mireille Broucke; Ari Arapostathis

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
174 KB
Volume
47
Category
Article
ISSN
0167-6911

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✦ Synopsis

We present results on existence of continuous selections of trajectories of hybrid systems evolving according to Lipschitz nonlinear inclusions. First, we utilize the Skorohod metric to deΓΏne both a family of pseudo-metrics and a metric on the set of trajectories accepted by the hybrid automaton. We show that under a non-Zeno condition the latter metric is complete. Second, the existence of continuous selections with respect to the family of pseudo-metrics is proved under a relatively mild assumption of transversality.

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