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

E. N. Barron ()
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E. N. Barron: Loyola University Chicago

Dynamic Games and Applications, 2018, vol. 8, issue 4, No 3, 696-712

Abstract: 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.

Keywords: Reach-avoid differential game; State and control constraint; Double obstacle; Isaacs’ equation; Optimal stopping; 49K35; 49K45; 49L25; 49L20; 90C47 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13235-017-0235-5

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