Skip to Main content Skip to Navigation
Conference papers

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.
Document type :
Conference papers
Complete list of metadata

https://hal.inria.fr/inria-00099316
Contributor : Publications Loria Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 8:52:41 AM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM

Identifiers

  • HAL Id : inria-00099316, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

298