Geodesic
Change of the attainability set after transition to a reduced system
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 58-60

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The problem of changing the attainability region after the transition to a reduced system with decreasing order is considered, taking into account one linear completely controllable stationary system. The source system is a triple integrator. New system — a double integrator — with control in a set of piecewise continuous bounded functions is a result of the reduction of the problem. A comparison is made between the attainability region of the reduced system and the projection of the attainability region of the original system onto the coordinate plane of the reduced system. 
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     author = {D. I. Bugrov and A. M. Formal'sky},
     title = {Change of the attainability set after transition to a reduced system},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {58--60},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a11/}
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D. I. Bugrov; A. M. Formal'sky. Change of the attainability set after transition to a reduced system. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 58-60. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a11/