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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 196–201 (Mi tm774)  
On Linear Nonstationary Control Processes

M. S. Nikol'skii

Steklov Mathematical Institute, Russian Academy of Sciences
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Abstract: 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.
Received in October 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 188–193
DOI: https://doi.org/10.1134/S0081543808030152
Bibliographic databases:
Document Type: Article
UDC: 517.977.55
Language: Russian
Citation: M. S. Nikol'skii, “On Linear Nonstationary Control Processes”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 196–201; Proc. Steklov Inst. Math., 262 (2008), 188–193
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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