Geodesic
Optimal synthesis in the time minimization problem under phase constraints
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 67-71

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The time minimization problem in a linear system with a scalar control under phase constraints is considered. This problem is reduced to the problem of maximal deviations. Necessary conditions of control optimality are obtained. The results are applied to the problem of uniaxial stabilization of a satellite in the presence of a gravitational torque. The stabilization is performed by a flywheel engine with a limited angular momentum. 
@article{VMUMM_2012_1_a11,
     author = {V. V. Aleksandrov and A. D. Belen'kii and A. V. Lebedev and E. Matlalcuatzi Rugerio},
     title = {Optimal synthesis in the time minimization problem under phase constraints},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {67--71},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a11/}
}
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V. V. Aleksandrov; A. D. Belen'kii; A. V. Lebedev; E. Matlalcuatzi Rugerio. Optimal synthesis in the time minimization problem under phase constraints. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 67-71. http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a11/