Optimal Synthesis of the Zermelo–Markov–Dubins Problem in a Constant Drift Field

Author:

Bakolas Efstathios,Tsiotras Panagiotis

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference27 articles.

1. Dubins, L.E.: On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents. Am. J. Math. 79(3), 497–516 (1957)

2. Isaacs, R.: Games of pursuit. RAND Report P-257, RAND Corporation, Santa Monica, CA (1951)

3. Patsko, V.S., Turova, V.L.: Numerical study of the “homicidal chauffeur” differential game with the reinforced pursuer. Game Theory Appl. 12(8), 123–152 (2007)

4. Zermelo, E.: Über das Navigationproble bei ruhender oder veränderlicher Windverteilung. Z. Angew. Math. Mech. 11(2), 114–124 (1931)

5. Carathéodory, C.: Calculus of Variations and Partial Differential Equations of First Order, 3rd edn. Am. Math. Soc., Washington (1999)

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