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Article Dans Une Revue Reliable Computing Année : 2016

Computing an Inner and an Outer Approximation of the Viability Kernel

Résumé

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.
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Dates et versions

hal-01366752 , version 1 (16-09-2016)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : hal-01366752 , version 1

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Dominique Monnet, Jordan Ninin, Luc Jaulin. Computing an Inner and an Outer Approximation of the Viability Kernel. Reliable Computing, 2016, 22. ⟨hal-01366752⟩
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