Encounter-evasion problems in systems with a small parameter in the derivatives. (English. Russian original) Zbl 0308.90064
J. Appl. Math. Mech. 38, 723-731 (1974); translation from Prikl. Mat. Mekh. 38, 771-779 (1974).
References:
| [1] | Tikhonov, A. N., Systems of differential equations containing small parameters in the derivatives, Matem.Sb., Vol. 31, N≗ 3 (1952) |
| [2] | Krasovskii, N. N., Differential games of encounter-evasion. I, II, (Tekhn.Kibernetika, N≗N≗2, 3 (1973), Izv.Akad. Nauk SSSR) · Zbl 0246.90060 |
| [3] | Krasovskii, N. N.; Subbotin, A. I., Approximation in a differential game, PMM, Vol.37, n≗ 2 (1973) · Zbl 0288.90099 |
| [4] | Pontriagin, L. S.; Mishchenko, E. F., The problem of one controlled object escaping from another, Dokl. Akad. Nauk SSSR, Vol.189, N≗ 4 (1969) · Zbl 0277.90109 |
| [5] | Malkin, I. G., Theory of Stability of Motion (1966), Nauka: Nauka Moscow · Zbl 0136.08502 |
| [6] | Liapunov, A. M., General Problem of the Stability of Motion (1950), Gostekhizdat: Gostekhizdat Moscow-Leningrad · Zbl 0041.32204 |
| [7] | Krasovskii, N. N., On an evasion game problem, Differentsial’nye Uravneniia, Vol. 8, N≗ 2 (1972) |
| [8] | Barbashin, E. A., On stability with respect to impulse actions, Differentsial’nye Uravneniia, Vol. 2, N≗ 7 (1966) |
| [9] | Barabanova, N. N.; Subbotin, A. I., On continuous evasion strategies in game problems on the encounter of motions, PMM, Vol. 34, N≗ 5 (1970) · Zbl 0256.90060 |
| [10] | Gusiatnikov, P. B., On the \(l\)-evasion of contact in a linear differential game, PMM, Vol. 38, N≗ 3 (1974) · Zbl 0424.49007 |
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