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Trudy Inst. Mat. i Mekh. UrO RAN, 2006, Volume 12, Number 1, Pages 78–85 (Mi timm135)  

On the theory of three-person differential games

N. L. Grigorenko


Abstract: A differential game of three players with dynamics described by linear differential equations under geometric constraints on the control parameters is considered. Sufficient conditions are obtained for the existence of the first player's strategy guaranteeing that the trajectory of the game reaches a given target set for any admissible control of the second player and avoids the terminal set of the third player. An algorithm of constructing the first player's strategy guaranteeing the game's termination in finite time is suggested. A solution of a model example is given.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, 253, suppl. 1, S96–S104

Bibliographic databases:

Document Type: Article
UDC: 517.977
Received: 03.02.2006

Citation: N. L. Grigorenko, “On the theory of three-person differential games”, Dynamical systems: modeling, optimization, and control, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 1, 2006, 78–85; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S96–S104

Citation in format AMSBIB
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\by N.~L.~Grigorenko
\paper On the theory of three-person differential games
\inbook Dynamical systems: modeling, optimization, and control
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 1
\pages 78--85
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\zmath{https://zbmath.org/?q=an:05203139}
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 253
\issue , suppl. 1
\pages S96--S104
\crossref{https://doi.org/10.1134/S0081543806050087}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746906318}


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