ON CALCULATING THE VALUE OF A DIFFERENTIAL GAME IN THE CLASS OF COUNTER STRATEGIES

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Abstract

For a linear dynamical system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of a set of deviations of the system’s motion from given targets at given instants of time is optimized. The problem is formalized into a differential game in “strategy-counter strategy” classes. A game value computing procedure which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions is justified. Results of numerical simulations are presented.
Original languageEnglish
Pages (from-to)38-47
Number of pages10
JournalURAL MATHEMATICAL JOURNAL
Volume2
Issue number1(2)
DOIs
Publication statusPublished - 2016

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Feedback control
Dynamical systems
Computer simulation

GRNTI

  • 27.00.00 MATHEMATICS

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Cite this

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title = "ON CALCULATING THE VALUE OF A DIFFERENTIAL GAME IN THE CLASS OF COUNTER STRATEGIES",
abstract = "For a linear dynamical system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of a set of deviations of the system’s motion from given targets at given instants of time is optimized. The problem is formalized into a differential game in “strategy-counter strategy” classes. A game value computing procedure which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions is justified. Results of numerical simulations are presented.",
author = "Gomoyunov, {Mikhail I.} and Kornev, {Dmitry V.}",
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journal = "URAL MATHEMATICAL JOURNAL",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
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ON CALCULATING THE VALUE OF A DIFFERENTIAL GAME IN THE CLASS OF COUNTER STRATEGIES. / Gomoyunov, Mikhail I.; Kornev, Dmitry V.

In: URAL MATHEMATICAL JOURNAL, Vol. 2, No. 1(2), 2016, p. 38-47.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Gomoyunov, Mikhail I.

AU - Kornev, Dmitry V.

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AB - For a linear dynamical system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of a set of deviations of the system’s motion from given targets at given instants of time is optimized. The problem is formalized into a differential game in “strategy-counter strategy” classes. A game value computing procedure which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions is justified. Results of numerical simulations are presented.

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