Reasoning about hybrid systems based on a nonstandard model

Authors:
Katsunori Nakamura;Akira Fusaoka
Affiliations:
Department of Computer Science, Ritsumeikan University, Kusatsu-city, Siga, Japan and Heian Jogakuin University, Takatsuki-city, Osaka, Japan;Department of Computer Science, Ritsumeikan University, Kusatsu-city, Siga, Japan
Venue:
AI'07 Proceedings of the 20th Australian joint conference on Advances in artificial intelligence
Year:
2007

Citing 3
Cited 0

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HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control

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Abstract

In this paper, we propose to introduce a nonstandard analysis into a logical modeling of continuous dynamics and present a new framework called hyper-finite hybrid automaton (HHA). HHA is a non-standard interpretation of hybrid automata in the domain of * R. We also enlarge the linear temporal logic LTL to * LTL to describe the system specification. By using this framework, we examine the validation of the system consistency of the hybrid system, especially the existence and reachability of Zeno point.