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An Analysis of the Fuller Phenomenon on Transfinite Hybrid Automata

An Analysis of the Fuller Phenomenon on Transfinite Hybrid Automata,10.1007/978-3-642-00602-9_33,Katsunori Nakamura,Akira Fusaoka

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An Analysis of the Fuller Phenomenon on Transfinite Hybrid Automata (Citations: 1)


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In this paper, we introduce the hybrid automaton on the discrete time structure of a countable scattered linear-order set and present the reachability analysis for the Zeno and reversed-Zeno behaviors in the Fuller’s phenomenon by using the extended automaton.

Conference: Hybrid Systems , pp. 450-454, 2009

DOI: 10.1007/978-3-642-00602-9_33

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- ...Actually, Fuller’s solution approaches to the point (x, y) = (0, 0) through Zeno trajectory(Figure 1), then stay there for a finite period, and goes out through reversed-Zeno trajectory[8]...
Katsunori Nakamura, et al. On A nonstandard model of hybrid automaton