Some algorithms for differential games with two players and one target
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 28 (1994) no. 4, p. 441-461
@article{M2AN_1994__28_4_441_0,
     author = {Cardaliaguet, P. and Quincampoix, M. and Saint-Pierre, P.},
     title = {Some algorithms for differential games with two players and one target},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {28},
     number = {4},
     year = {1994},
     pages = {441-461},
     zbl = {0821.90145},
     mrnumber = {1288507},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1994__28_4_441_0}
}
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P. Some algorithms for differential games with two players and one target. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 28 (1994) no. 4, pp. 441-461. http://www.numdam.org/item/M2AN_1994__28_4_441_0/

[1] J.-P. Aubin, 1989, Victory and defeat in differential games, Lecture notes in Control and Information Sciences, 121, 337-347, Springer-Verlag, New York, Berlin, 1989. | MR 1231129 | Zbl 0682.90107

[2] J.-P. Aubin, H. Frankowska, 1991, Set-valued analysis, Birkhäuser. | MR 1048347 | Zbl 0713.49021

[3] J.-P. Aubin, 1992, Viability Theory, Birkhäuser. | MR 1134779 | Zbl 0755.93003

[4] P. Bernhard, 1979, Contribution à l'étude des jeux à information parfaite et à somme nulle, Thèse de Doctorat d'Etat, Paris VI.

[5] P. Bernhard P., B. Larrouturou, 1989, Etude de la barrière pour un problème de fuite optimale dans le plan, preprint, Rapport de recherche de l'INRIA, Le Chesnay, France. | Zbl 0737.90088

[6] P. Cardaliaguet (Submitted), Discriminating and leadership domains.

[7] P. Cardaliaguet (Submitted), The target problem for nonanticipative strategies.

[8] N. J. Elliot, N. J. Kalton, 1972, The existence of value in differential games, Mem. Amer. Math. Soc., 126. | MR 359845 | Zbl 0262.90076

[9] L. C. Evans, P. E. Souganidis, 1984, Differential games and representation formulas for solutions of Hamilton-Jacobi Equations, Transactions of A.M.S., 282, 487-502. | Zbl 0543.35011

[10] H. Frankowska, M. Quincampoix, 1991, Viability kernels of differential inclusions with constraints : Algorithm and applications, J. Math, of Systems, Estimation and Control, 1, No. 3, 371-388. | MR 1151310

[11] H. Frankowska, M. Quincampoix, 1992, Isaacs' equations for value-functions of differential games, International Series of Numerical Mathematics, 107, Birkhäuser Verlag Basel. | MR 1223370 | Zbl 0770.90093

[12] R. Isaacs, 1965, Differential Games, Wiley, New York. | MR 210469 | Zbl 0125.38001

[13] N. N. Krasovskii, A. I. Subbotin, 1988, Game-Theorical Control Problems, Springer-Verlag, New York. | MR 918771 | Zbl 0649.90101

[14] V. Laporte, J. M. Nicolas, P. Bernhard, 1990, About the resolution of discrete pursuit games and its applications to naval warfare, Proceedings of the International Symposium on differential games and applications, Helsinki. | MR 1179875 | Zbl 0831.90143

[15] N. S. Pontryagin, 1968, Linear differential games I and II, Soviet Math. Doklady, 8, (3 & 4) 769-771, 910-912. | Zbl 0157.16401

[16] M. Quincampoix, 1991, Playable Differential Games, J. Math. Analysis and Appl., 161, No. 1, 194-211. | MR 1127557 | Zbl 0747.90123

[17] M. Quincampoix, 1992, Differential Inclusions and Target Problems, SIAM J. Control and Optimization, 30, No. 2, 324-335. | MR 1149071 | Zbl 0862.49006

[18] M. Quincampoix (to appear), Invariance envelopes and invariance kernels for Lipschitzean differential Inclusions, Proceedings of conference on Differential Inclusions and set-valued analysis, Pamporovo, September 1990. | MR 1075661 | Zbl 0794.49005

[19] M. Quincampoix, P. Saint-Pierre (to appear), An algorithm for Viability Kernels in Hölderian case : Approximation by Discrete Viability Kernels, J. Math. of Systems, Estimation and Control. | Zbl 0831.34016

[20] P. Saint-Pierre (to appear), Approximation of the Viability Kernel, in Applied Mathematics & Optimisation. | MR 1254059 | Zbl 0790.65081

[21] P. Varaiya, 1971, Differential games with dynamical systems, in Differential games and related topics, Kuhn & Szego editors, North-Holland. | MR 278760 | Zbl 0266.90070