Optimal Control of a Dubins Car with a Capture Set and the Homicidal Chauffeur Differential Game * *The views expressed in this paper are those of the authors and do not reect the o_cial policy or position of the United States Air Force, Department of Defense, or the United States Government.

Author:

Coates S.,Pachter M.,Murphey R.

Publisher

Elsevier BV

Subject

Control and Systems Engineering

Reference7 articles.

1. On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents;Dubins;American Journal of Mathematics,1957

2. Plane motion of a particle subject to curvature constraints;Cockayne;SIAM J. Control,1975

3. Boissonant, J., Ce’re’zo, A., Leblond, J (1992). Shortest paths of bounded curvature in the plane. Preceedings of the IEEE Int. Cont. On Robotics and Automotive, 2315-2325.

4. Differential games: a mathematical theory with applications to warfare and pursuit, control and optimization;Isaacs,1965

5. Starodubtsev, I.S., Fedotov, A.A, Averbukh, V.L., Patsko V.S. (2016). Reachable sets for Dubins car in control problem: physical visualization. 24th Iternational Conference in Central Europe on Computer Graphics, Visualization and Computer Vision.

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1. Computing the Minimum-Time Interception of a Moving Target;Journal of Optimization Theory and Applications;2024-07-06

2. Homicidal Chauffeur Reach-Avoid Games via Guaranteed Winning Strategies;IEEE Transactions on Automatic Control;2023

3. Time-Optimal Interception of a Moving Target by a Dubins Car;Automation and Remote Control;2021-05

4. Antony Merz and His Works;Dynamic Games and Applications;2019-07-09

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