The Hamilton-Jacobi equation of minimal time control
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 traj...
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| Format: | article |
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2004
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| Online Access: | http://hdl.handle.net/10725/7397 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.heldermann.de/JCA/JCA11/jca11026.htm |
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| Summary: | 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. |
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