Calculus of Variations and Geometric Measure Theory
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A. Cellina - A. Ferriero - E. Marchini

On the existence of solutions to a minum time control problems and applications to Fermat's principle and the Brachistochrone

created by ferrieroa on 19 Apr 2007


Published Paper

Inserted: 19 apr 2007

Journal: Systems Control Lett.
Volume: 55
Pages: 119-123
Year: 2006


We prove a theorem for the existence of solutions to minimum time control problems, under assumptions that do not require the convexity of the images and that weaken the assumption of upper semicontinuity. Our result applies to Fermat's principle and to the Brachistochrone.


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