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Deciding reachability for planar multi-polynomial systems

  • Kārlis Čerāns
  • Juris Vīksna
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1066)

Abstract

In this paper we investigate the decidability of the reachability problem for planar non-linear hybrid systems. A planar hybrid system has the property that its state space corresponds to the standard Euclidean plane, which is partitioned into a finite number of (polyhedral) regions. To each of these regions is assigned some vector field which governs the dynamical behaviour of the system within this region. We prove the decidability of point to point and region to region reachability problems for planar hybrid systems for the case when trajectories within the regions can be described by polynomials of arbitrary degree.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Kārlis Čerāns
    • 1
  • Juris Vīksna
    • 1
  1. 1.Institute of Mathematics and Computer ScienceThe University of LatviaRīgaLatvia

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