Geodesic
Differential games with fixed terminal time and estimation of the instability degree of sets in these games
Informatics and Automation, Mathematical control theory and differential equations, Tome 277 (2012), pp. 275-287

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This paper contributes to the theory of differential games. A game problem of bringing a conflict-controlled system to a compact target set is analyzed. Sets in the position space that terminate on the target set and are not stable bridges are considered. The notion of stability defect of these sets is examined. It is demonstrated how the notion of stability defect can be used to construct sets with relatively good geometry that are at the same time convenient for the first player to play the game successfully. 
@article{TRSPY_2012_277_a18,
     author = {V. N. Ushakov and P. D. Lebedev and A. R. Matviychuk and A. G. Malev},
     title = {Differential games with fixed terminal time and estimation of the instability degree of sets in these games},
     journal = {Informatics and Automation},
     pages = {275--287},
     publisher = {mathdoc},
     volume = {277},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_277_a18/}
}
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V. N. Ushakov; P. D. Lebedev; A. R. Matviychuk; A. G. Malev. Differential games with fixed terminal time and estimation of the instability degree of sets in these games. Informatics and Automation, Mathematical control theory and differential equations, Tome 277 (2012), pp. 275-287. http://geodesic.mathdoc.fr/item/TRSPY_2012_277_a18/