Reachability Analysis Using Polygonal Projections

  • Mark R. Greenstreet
  • Ian Mitchell
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1569)


This paper presents Coho, a reachability analysis tool for systems modeled by non-linear, ordinary differential equations. Coho represents high-dimensional objects using projections onto planes corresponding to pairs of variables. This representation is compact and allows efficient algorithms from computational geometry to be exploited while also capturing dependencies in the behaviour of related variables. Reachability is performed by integration where methods from linear programming and linear systems theory are used to bound trajectories emanating from each face of the object. This paper has two contributions: first, we describe the implementation of Coho and, second, we present analysis results obtained by using Coho on several simple models.


Convex Hull Geometric Phase Reachability Analysis Java Virtual Machine Geometric Operation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Mark R. Greenstreet
    • 1
  • Ian Mitchell
    • 2
  1. 1.Department of Computer ScienceUniversity of British ColumbiaVancouverCanada
  2. 2.Scientific Computing and Computational MathematicsStanford UniversityStanfordUSA

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