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Dynamic Games and Applications

Erschienen in:

30.11.2017

Reach-Avoid Differential Games with Targets and Obstacles Depending on Controls

verfasst von: E. N. Barron

Erschienen in: Dynamic Games and Applications | Ausgabe 4/2018

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Abstract

The reach-avoid differential game with targets and constraints which may also depend on the control functions is studied. The set of initial points which can steer the trajectory into a target while avoiding the constraints is characterized as the 0-sublevel set of the value function of such a game. This value function is characterized as the unique viscosity solution of a nonlinear variational inequality with double obstacle.

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Titel: Reach-Avoid Differential Games with Targets and Obstacles Depending on Controls
verfasst von: E. N. Barron
Publikationsdatum: 30.11.2017
Verlag: Springer US
Erschienen in: Dynamic Games and Applications / Ausgabe 4/2018
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI: https://doi.org/10.1007/s13235-017-0235-5

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