Singularities in the one control problem. S.I.S.S.A., Trieste August 16, 2007.Igor Moiseev
Singularities in the one control problem. S.I.S.S.A., Trieste August 16, 2007.
The geometry of strokes arises in the control problems of Reeds–Shepp car, Dubins’ car, modeling of vision and some others. The main problem is to characterize the shortest paths and minimal distances on the plane, equipped with the structure of geometry of strokes.
This problem is formulated as an optimal control problem in 3-space with 2 dimensional control and a quadratic integral cost. Here is studied the symmetries of the sub-Riemannian structure, extremals of the optimal control problem, the Maxwell stratum, conjugate points and boundary value problem for the corresponding Hamiltonian system.
en esta presentación encontraras el material necesario para trabajar con una herramienta matemática llamada Desmos (resolución de ecuaciones cuadráticas)
Singularities in the one control problem. S.I.S.S.A., Trieste August 16, 2007.Igor Moiseev
Singularities in the one control problem. S.I.S.S.A., Trieste August 16, 2007.
The geometry of strokes arises in the control problems of Reeds–Shepp car, Dubins’ car, modeling of vision and some others. The main problem is to characterize the shortest paths and minimal distances on the plane, equipped with the structure of geometry of strokes.
This problem is formulated as an optimal control problem in 3-space with 2 dimensional control and a quadratic integral cost. Here is studied the symmetries of the sub-Riemannian structure, extremals of the optimal control problem, the Maxwell stratum, conjugate points and boundary value problem for the corresponding Hamiltonian system.
en esta presentación encontraras el material necesario para trabajar con una herramienta matemática llamada Desmos (resolución de ecuaciones cuadráticas)