| Simulation of hybrid systems based on hierarchical interval constraints |
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International Conference On Simulation Tools And Techniques For Communications, Networks And Systems & Workshops
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Proceedings of the 2nd International Conference on Simulation Tools and Techniques
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Rome, Italy
POSTER SESSION: Posters
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Article No. 37
Year of Publication: 2009
ISBN:978-963-9799-45-5
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Authors
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Daisuke Ishii
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Waseda University, Okubo, Shinjuku-ku, Tokyo, Japan
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Kazunori Ueda
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Waseda University, Okubo, Shinjuku-ku, Tokyo, Japan
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Hiroshi Hosobe
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National Institute of Informatics, Hitotsubashi, Chiyoda-ku, Tokyo, Japan
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ABSTRACT
We propose a framework called HydLa for simple modeling and reliable simulation of hybrid systems which involve discrete and continuous changes over time. HydLa employs interval constraints as a central principle to express uncertainties in modeling, error bounds in the computation of nonlinear continuous changes, and reachable state sets that play key roles in verification. In this research, we propose a modeling language with hierarchical interval constraints to facilitate well-defined modeling, and its implementation which uses machine-representable interval constraints to enclose computation errors with intervals or boxes. The implementation is based on the integration of a consistency technique for nonlinear interval constraints and a technique for solving ordinary differential equations. We also present a method for solving constraint hierarchies among interval constraints.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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D. Ishii, K. Ueda, and H. Hosobe. An interval-based approximation method for discrete changes in Hybrid cc. In Trends in Constraint Programming, pp. 245--255. ISTE, 2007.
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N. S. Nedialkov, K. R. Jackson, and G. F. Corliss. Validated solutions of initial value problems for ordinary differential equations. Applied Mathematics and Computation, Vol. 105, No. 1, pp. 21--68, Elsevier, 1999.
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