Geodesic
Optimal synthesis in the problem of uniaxial stabilization for a satellite in the case of phase constraints
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 61-65

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The optimal stabilization problem for the pitching oscillations of a satellite is considered. For the reduced system, an optimal control problem with phase constraints is formulated and a controllability domain is constructed. A necessary optimality condition (the maximum principle for the optimal control problem with phase constraints) is used to determine optimal trajectories, the nature of interaction between a trajectory and the phase constraint boundary, and the number of boundary segments. An optimal synthesis is proposed in the constructed domain. 
@article{VMUMM_2010_6_a13,
     author = {V. V. Aleksandrov and V. V. Cheremisin},
     title = {Optimal synthesis in the problem of uniaxial stabilization for a satellite in the case of phase constraints},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {61--65},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a13/}
}
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V. V. Aleksandrov; V. V. Cheremisin. Optimal synthesis in the problem of uniaxial stabilization for a satellite in the case of phase constraints. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 61-65. http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a13/