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- W1595215337 abstract "The paper considers an important class of hybrid dynamical systems called differential automata. A differential automaton is said to be reducible if its dynamics can be described by some discrete automaton with a finite number of states. Our main results show that, under certain general assumptions, any differential automaton is reducible. Furthermore, we prove that any reducible differential automaton can be represented as a union of a finite number of differential automata with simple cyclic dynamics. Moreover, we show that the differential automaton has a periodic trajectory corresponding to each of this cyclic automata. For planar differential automata, we derive an analog of the classic Poincare-Bendixon theorem." @default.
- W1595215337 created "2016-06-24" @default.
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- W1595215337 date "1998-01-01" @default.
- W1595215337 modified "2023-09-26" @default.
- W1595215337 title "Reduction and decomposition of differential automata: Theory and applications" @default.
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- W1595215337 doi "https://doi.org/10.1007/3-540-64358-3_48" @default.
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