This article is cited in 6 scientific papers (total in 6 papers)
On the theory of differential games of escape
N. Yu. Satimov
The paper consists of three sections. In § 1 a simplified proof is obtained of Pontryagin's escape theorem, differing from his in that in the so-called fine case no integral equation is solved. In § 2, at the expense of restricting the class of controls available to the pursuer, the theory is in a definite sense freed of the constant $\mu$ occurring in Pontryagin's escape theorem. In § 3 a sufficient escape condition is presented for quasilinear games, and examples are also considered.
Bibliography: 24 titles.
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Mathematics of the USSR-Sbornik, 1977, 32:3, 371–383
N. Yu. Satimov, “On the theory of differential games of escape”, Mat. Sb. (N.S.), 103(145):3(7) (1977), 430–444; Math. USSR-Sb., 32:3 (1977), 371–383
Citation in format AMSBIB
\paper On the theory of differential games of escape
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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This publication is cited in the following articles:
Mishchenko E. Satimov N., “An Encounter-Evasion Problem in the Critical Case”, Differ. Equ., 19:2 (1983), 160–167
Satimov N., “Generalizations of Pontryagin,l.S. Lemma Concerning Squares”, Differ. Equ., 20:9 (1984), 1118–1123
Satimov N., “Possibility of Encounter Avoidance in a Critical Case”, Differ. Equ., 20:12 (1984), 1451–1455
Konovalov A., “Nonlinear Differential Encounter-Evasion Games with Delay”, 23, no. 3, 1987, 418–425
J. Yong, “A sufficient condition for the evadability of differential evasion games”, J Optim Theory Appl, 57:3 (1988), 501
Jiongmin Yong, “On the evadable sets of differential evasion games”, Journal of Mathematical Analysis and Applications, 133:1 (1988), 249
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