Computing an Inner and an Outer Approximation of the Viability KernelReport as inadecuate




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1 Lab-STICC ENSTAB CID IHSEV Lab-STICC - Laboratoire des sciences et techniques de l-information, de la communication et de la connaissance 2 Pôle STIC OSM ENSTA Bretagne

Abstract : The viability kernel corresponds to the set of all state vectors of a controlled dynamic system that are viable, i.e., such that there exists an input such that the system will not enter inside a forbidden zone. In this paper, we propose a method which computes an inner and an outer approximation of the viability kernel in a guaranteed way. Our method is based on interval analysis and uses the notions of V-viability and capture basin. We illustrate our approach on the car on the hill problem. A software package has been developed to solve any 2D-problem.

Keywords : viability kernel interval analysis





Author: Dominique Monnet - Jordan Ninin - Luc Jaulin -

Source: https://hal.archives-ouvertes.fr/



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