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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.
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Submitted on : Tuesday, September 26, 2006 - 8:52:41 AM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM


  • HAL Id : inria-00099316, version 1



Eugène Asarin, Olivier Bournez, Thao Dang, Oded Maler. Approximate reachability analysis of piecewise-linear dynamical systems. International Workshop on Hybrid Systems: Computation & Control - HSCC'2000, 2000, Pittsburgh, PA, USA, pp.20-31. ⟨inria-00099316⟩



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