Title :
On A nonstandard model of hybrid automaton
Author :
Nakamura, Katsunori ; Fusaoka, Akira
Author_Institution :
Heian Jogakuin (St.Agnes) Univ., Takatsuki, Japan
Abstract :
In this paper, we introduce an enlargement of a standard hybrid automaton (HA) called a nonstandard hybrid automaton (NHA) which is another model of HA in the domain of *ℝ rather than ℝ. We define two kinds of almost periodic trajectories called the z-*cycle and p-* cycle on NHA, and we discuss a slightly extended Zeno (*Zeno) and a limit cycle in terms of these cycles. Moreover, we classify the ω-limit set of hybrid dynamics into 4 types and present an example of NHA for each type.
Keywords :
automation; control systems; ω-limit set; hybrid dynamics; nonstandard hybrid automaton; p-cycle; slightly extended Zeno; z-cycle; Automata; Cities and towns; Convergence; Limit-cycles; Orbits; Switches; Trajectory; Zeno phenomenon; hybrid automaton;
Conference_Titel :
Control Applications (CCA), 2010 IEEE International Conference on
Conference_Location :
Yokohama
Print_ISBN :
978-1-4244-5362-7
Electronic_ISBN :
978-1-4244-5363-4
DOI :
10.1109/CCA.2010.5611334
