This article is cited in 1 scientific paper (total in 2 paper)
The linear differential game of pursuit (analytic theory)
L. S. Pontryagin, A. S. Mishchenko
A solution of the linear differential game of pursuit without discrimination of the evading object is constructed under certain natural constraints on the form of the differential game, such as smoothness of the boundaries of the sets of admissible values of the control parameters and conditions of general position. A solution is constructed on the basis of a choice of the pursuit control which maximizes the rate of decay of the estimator function of the time of termination of the game and is best possible in a certain sense. The asymptotic behavior of the estimator function at singular points of the differential game is investigated.
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Mathematics of the USSR-Sbornik, 1988, 59:1, 129–154
L. S. Pontryagin, A. S. Mishchenko, “The linear differential game of pursuit (analytic theory)”, Mat. Sb. (N.S.), 131(173):2(10) (1986), 131–158; Math. USSR-Sb., 59:1 (1988), 129–154
Citation in format AMSBIB
\by L.~S.~Pontryagin, A.~S.~Mishchenko
\paper The linear differential game of pursuit (analytic theory)
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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Komleva T., “Sufficient Condition of Completion of a Pursuit in a Nonlinear Differential Game”, Cybern. Syst. Anal., 35:6 (1999), 960–964
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