Smooth and nonsmooth duality for free time problems

Nour, Chadi

Smooth and nonsmooth duality for free time problems

Nour, Chadi

URI: http://hdl.handle.net/10725/7405

URL: https://link.springer.com/chapter/10.1007/978-3-540-39983-4_21

DOI: https://doi.org/10.1007/978-3-540-39983-4_21

Date: 2018-04-18

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Abstract:

The main result of this paper contains a representation of the minimum cost of a free time control problem in terms of the upper envelope of generalized semisolutions of the Hamilton-Jacobi equation. A corollary generalizes a similar result due to Vinter using smooth subsolutions.

Citation:

Nour, C. (2004). Smooth and Nonsmooth Duality for Free Time Problems. In Optimal Control, Stabilization and Nonsmooth Analysis (pp. 323-331). Springer, Berlin, Heidelberg.