Geodesic
The structure of the boundary of the controllability set of a linear subcritical system with vector-valued control
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 84-85

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The time-optimal problem of reaching the origin for a linear nonstationary subcritical system with vector-valued control is considered. It is proved that the boundary of the controllability set is a union of pairwise disjoint smooth manifolds of various dimensions.
Keywords: linear control system, subcritical system, controllability set. 
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     author = {V. V. Lukyanov},
     title = {The structure of the boundary of the controllability set of a linear subcritical system with vector-valued control},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {84--85},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a38/}
}
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V. V. Lukyanov. The structure of the boundary of the controllability set of a linear subcritical system with vector-valued control. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 84-85. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a38/