Geodesic
On Linear Nonstationary Control Processes
Informatics and Automation, Optimal control, Tome 262 (2008), pp. 196-201

Voir la notice de l'article provenant de la source Math-Net.Ru

For a linear nonstationary optimal control problem, the number of switches in a time-optimal piecewise constant control is estimated above in the case where the control set $U$ is a convex polytope and a genericity condition holds at all points of the time interval under consideration. 
@article{TRSPY_2008_262_a14,
     author = {M. S. Nikol'skii},
     title = {On {Linear} {Nonstationary} {Control} {Processes}},
     journal = {Informatics and Automation},
     pages = {196--201},
     publisher = {mathdoc},
     volume = {262},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_262_a14/}
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M. S. Nikol'skii. On Linear Nonstationary Control Processes. Informatics and Automation, Optimal control, Tome 262 (2008), pp. 196-201. http://geodesic.mathdoc.fr/item/TRSPY_2008_262_a14/