From Dubins' car to Reeds and Shepp's mobile robot

DOI10.1007/s00791-008-0109-xzbMath1216.49035OpenAlexW2132503805MaRDI QIDQ600927

Valerii S. Patsko, Varvara L. Turova

Publication date: 3 November 2010

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-008-0109-x

zbMATH Keywords

optimal control problemvalue functionreachable setssemipermeable curves

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Attainable sets, reachability (93B03)

Related Items (4)

Optimal synthesis in the Reeds and Shepp problem with a free final direction ⋮ Optimal synthesis in the Reeds and Shepp problem with onesided variation of velocity ⋮ Freezing of Living Cells: Mathematical Models and Design of Optimal Cooling Protocols ⋮ Optimal trajectories of curvature constrained motion in the Hamilton-Jacobi formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Overapproximating reachable sets by Hamilton-Jacobi projections
• LEVEL SETS OF THE VALUE FUNCTION IN DIFFERENTIAL GAMES WITH THE HOMICIDAL CHAUFFEUR DYNAMICS
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• Plane Motion of a Particle Subject to Curvature Constraints
• The construction of attainability sets for a minimal-time problem
• Set of reachable positions for a car
• An algorithm for the numerical solution of linear differential games
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: From Dubins' car to Reeds and Shepp's mobile robot