Approximate reachability analysis of piecewise-linear dynamical systems

Eugène Asarin 1 Olivier Bournez 2 Thao Dang 1 Oded Maler 1
2 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper we describe an experimental system called "ddt" for approximating reachable states for hybrid systems whose continuous dynamics is defined by linear differential equations. We use an approximation algorithm whose accumulation of errors during the continuous evolution is much smaller than in previously-used methods. The "ddt" system can, so far, treat non-trivial continuous systems, hybrid systems, convex differential inclusions and controller synthesis problems.
Type de document :
Communication dans un congrès
Nancy Lynch Bruce H. Krogh. International Workshop on Hybrid Systems: Computation & Control - HSCC'2000, 2000, Pittsburgh, PA, USA, Springer-Verlag, 1790, pp.20-31, 2000, Lecture Notes in Computer Science
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https://hal.inria.fr/inria-00099316
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Soumis le : mardi 26 septembre 2006 - 08:52:41
Dernière modification le : vendredi 6 juillet 2018 - 10:08:02

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  • HAL Id : inria-00099316, version 1

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Eugène Asarin, Olivier Bournez, Thao Dang, Oded Maler. Approximate reachability analysis of piecewise-linear dynamical systems. Nancy Lynch Bruce H. Krogh. International Workshop on Hybrid Systems: Computation & Control - HSCC'2000, 2000, Pittsburgh, PA, USA, Springer-Verlag, 1790, pp.20-31, 2000, Lecture Notes in Computer Science. 〈inria-00099316〉

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