The problem of the optimal control of the rotation of an axisymmetric rigid body is investigated. An integral functional, characterizing the power consumption to carry out a manoeuvre is chosen as the criterion, and the boundary conditions for the angular velocity vector are arbitrary. The principal
The existence of smooth solutions in a problem of the optimal control of the rotation of an axisymmetric rigid body
β Scribed by A.N. Sirotin
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 369 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we consider the restricted problem of three axisymmetric rigid bodies under the central forces. The collinear and triangular equilibrium solutions are obtained. Finally a numerical study of the influence of the non-sphericity and the rotation of the primaries in the location of the lib
The restricted problem of 2 + 2 homogenous axisymmetric ellipsoids such that their equatorial planes coincide with the orbital plane of the centers of mass is considered. The equilibrium solutions of this problem are shown to exist. Six of these solutions are located about the collinear points of th
The existence theorems of the optimal element are proved for a nonlinear control problem with constant delay in phase coordinates and with general functional. Here element implies the collection of delay parameter and initial function, initial moment and vector, control and finally moment.