Geodesic
Change of the attainability set after transition to a reduced system
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 58-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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