Note on Level Set Functions - System Modeling and Optimization Access content directly
Conference Papers Year : 2013

Note on Level Set Functions

Piotr Fulmański
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  • PersonId : 986425
Alicja Miniak-Górecka
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  • PersonId : 986426


In this note a concept of ε-level set function is introduced, i.e. a function which approximates a level set function satisfying the Hamilton-Jacobi inequality. We prove that each Lipschitz continuous solution of the Hamilton-Jacobi inequality is an ε-level set function. Next, a numerical approximation of the level set function is presented, i.e. method for the construction of an ε-level set function.
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Dates and versions

hal-01347558 , version 1 (21-07-2016)





Piotr Fulmański, Alicja Miniak-Górecka. Note on Level Set Functions. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.368-377, ⟨10.1007/978-3-642-36062-6_37⟩. ⟨hal-01347558⟩
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