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The Hamilton-Jacobi equation of minimal time control

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The Hamilton-Jacobi equation of minimal time control

Clarke, F. H.; Nour, C.
URI: http://hdl.handle.net/10725/7397
URL: https://www.heldermann.de/JCA/JCA11/jca11026.htm
Date: 2018-04-17
Terms of Use: This item is made available under the terms and conditions applicable to " Article ", as set forth at: http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php

Abstract:

We study the solutions of the Hamilton-Jacobi equation that arise in connection with minimal time control, in a new global framework. These solutions, for which we establish existence using the minimal time function as a function of two variables, turn out to be closely related to time-geodesic trajectories.

Citation:

Clarke, F. H., & Nour, C. (2004). The Hamilton-Jacobi equation of minimal time control. Journal of Convex Analysis, 11(2), 413-436.

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