The Hamilton-Jacobi equation of minimal time control

Nour, C.; Clarke, F.H.

The Hamilton-Jacobi equation of minimal time control

Nour, C.; Clarke, F.H.; SAS; 200502681; Computer Science and Mathematics; chadi.nour@lau.edu.lb; Lebanese American University

URI: http://hdl.handle.net/10725/7397

URL: https://www.researchgate.net/profile/Chadi_Nour/publication/228961631_The_Hamilton-Jacobi_equation_of_minimal_time_control/links/53e8c5c70cf25d674ea8630c.pdf

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.