inria-00099316, version 1
Approximate reachability analysis of piecewise-linear dynamical systems
Eugène Asarin a, 1Olivier Bournez
b, 2Thao Dang a, 1Oded Maler a, 1
International Workshop on Hybrid Systems: Computation & Control - HSCC'2000 1790 (2000) 20-31
Résumé : 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.
- a – VERIMAG
- b – INRIA
- 1 : VERIMAG (VERIMAG - IMAG)
- CNRS : UMR5104 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
- 2 : PROTHEO (INRIA Lorraine - LORIA)
- INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
- Domaine : Informatique/Autre
- Mots-clés : hybrid systems – dynamical systems – reachability analysis – synthesis – verification || systèmes hybrides – systèmes dynamiques – atteignabilité – synthèse – vérification
- Référence interne : A00-R-038 || asarin_00a
- Commentaire : Colloque avec actes et comité de lecture. internationale.
- inria-00099316, version 1
- http://hal.inria.fr/inria-00099316
- oai:hal.inria.fr:inria-00099316
- Contributeur : Publications Loria
- Soumis le : Mardi 26 Septembre 2006, 08:52:41
- Dernière modification le : Jeudi 28 Septembre 2006, 15:22:46
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