Approximation of reachable sets using optimal control and support vector machines

Martin Rasmussen, Janosch Rieger, Kevin N. Webster

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9 Citations (Scopus)


We propose and discuss a new computational method for the numerical approximation of reachable sets for nonlinear control systems. It is based on the support vector machine algorithm and represents the set approximation as a sublevel set of a function chosen in a reproducing kernel Hilbert space. In some sense, the method can be considered as an extension to the optimal control algorithm approach recently developed by Baier, Gerdts and Xausa. The convergence of the method is illustrated numerically for selected examples.

Original languageEnglish
Pages (from-to)68-83
Number of pages16
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - 1 Feb 2017
Externally publishedYes


  • Control system
  • Optimal control
  • Reachable set
  • Support vector machine

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