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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 50–63 (Mi tm764)  
This article is cited in 6 scientific papers (total in 6 papers)

Necessary Conditions for the Optimality of the Automaton Part of a Logical–Dynamical System

A. S. Bortakovskii

Moscow Aviation Institute
Full-text PDF (207 kB) Citations (6)
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Abstract: A dynamical system controlled by an automaton with memory is considered. The continuous part of the system is described by differential equations, and the automaton part, by recurrence inclusions. The instants of time at which the state of the automaton part is changed are not known in advance and are determined during the optimization process. Moreover, modes with multiple switchings of the automaton part at a given instant of time are admitted. Necessary conditions for the optimality of a program control are obtained. The application of the optimality conditions is illustrated by examples.
Received in March 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 44–57
DOI: https://doi.org/10.1134/S008154380803005X
Bibliographic databases:
UDC: 519.8
Language: Russian
Citation: A. S. Bortakovskii, “Necessary Conditions for the Optimality of the Automaton Part of a Logical–Dynamical System”, 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, 50–63; Proc. Steklov Inst. Math., 262 (2008), 44–57
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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