Stable sets in the differential games with m aim sets and changeable dynamics
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1985), pp. 3-9
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
Problems of constructing stable paths and integral manifolds for differential games in the case of $m$ target sets are considered. On the basis of these bridges, the strategies of the players are determined for the game studied in [1], when the dynamics of the game changes after each meeting. Under certain conditions, the narrowest classes of strategies are indicated in which there is a saddle point of the game.
[1] M. S. Gabrielyan, A. I. Subbotin, “Igrovye zadachi o vstreche s $m$ tselevymi mnozhestvami”, PMM, 43:2 (1979), 204–208 | MR | Zbl
[2] N. N. Krasovskii, A. I. Subbotin, Pozitsionye differentsialnye igry, Nauka, M., 1974 | MR | Zbl
[3] M. S. Gabrielyan, “Opredelenie strategii i dokazatelstvo alternativy dlya differentsialnoi igry s neskolkimi tselevymi mnozhestvami pri menyayuschikhsya sistemakh”, Izv. AN Arm. SSR (mekhanika), 31:6 (1978) | Zbl