Optimal synthesis of the Zermelo-Markov-Dubins problem in a constant drift field
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Publication:1949590
DOI10.1007/s10957-012-0128-0zbMath1263.49048OpenAlexW2114783945MaRDI QIDQ1949590
Efstathios Bakolas, Panagiotis Tsiotras
Publication date: 8 May 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-012-0128-0
Controllability (93B05) Synthesis problems (93B50) Miscellaneous topics in calculus of variations and optimal control (49N99)
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Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering ⋮ Markov-Dubins path via optimal control theory ⋮ Elongation of curvature-bounded path ⋮ Optimal guidance of the isotropic rocket in the presence of wind ⋮ Robust time-optimal guidance in a partially uncertain time-varying flow-field ⋮ Time-optimal guidance for intercepting moving targets by Dubins vehicles ⋮ MINIMIZATION FUEL RATE OF AN AIRCRAFT ⋮ Minimum-time lateral interception of a moving target by a Dubins car ⋮ Time-optimal Dubins trajectory for moving obstacle avoidance
Cites Work
- The Zermelo-Voronoi diagram: a dynamic partition problem
- Optimal synthesis of the asymmetric sinistral/dextral Markov-Dubins problem
- Dubin's problem on surfaces. I: Nonnegative curvature
- Three-dimensional reachability set for a nonlinear control system
- Optimal planar interception with fixed end conditions: Approximate solutions
- Optimal planar interception with fixed end conditions: Closed-form solution
- On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
- Dubins' Problem on Surfaces II: Nonpositive Curvature
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