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References
|
|
| |
| 1. |
M. Pachter, Y. Yavin, “Simple-motion pursuitevasion differential games. Part 1: Stroboscopic strategies in collision-course guidance and proportional navigation”, Journal of Optimization Theory and Applications, 51:1 (1986), 95–127 |
| 2. |
L. A. Petrosjan, Differential games of pursuit, v. 2, Optimization, World Scientific Publ., Singapore, 1993 |
| 3. |
L. V. Kamneva, V. S. Patsko, “Construction of a maximal stable bridge in games with simple motions on the plane”, Proceedings of the Steklov Institute of Mathematics, 292:1 (2016), 125–139  |
| 4. |
N. N. Krasovskiy, A. I. Subbotin, Positional Differential Games, Nauka Publ., Moscow, 1974, 456 pp. (In Russian) |
| 5. |
N. N. Krasovskiy, A. I. Subbotin, Game-Theoretical Control Problems, Springer-Verlag Inc., New York, 1988, 517 pp. |
| 6. |
A. I. Subbotin, Minimax Inequalities and Hamilton–Jacobi Equations, Nauka Publ., Moscow, 1991 (In Russian) |
| 7. |
A. I. Subbotin, Generalized Solutions of First Order PDEs. The Dynamical Optimization Perspective, Birkhauser, Boston, 1995 |
| 8. |
M. G. Crandall, P. L. Lions, “Viscosity solutions of Hamilton–Jacobi equations”, Transactions of the American Mathematical Society, 377:1 (1983), 1–42 |
| 9. |
A. I. Subbotin, L. G. Shagalova, “A piecewise linear solution of the Cauchy problem for the Hamilton-Jacobi equation”, Doklady Mathematics, 325:5 (1992), 144–148 (In Russian) |
| 10. |
L. G. Shagalova, “A piecewise linear minimax solution of the Hamilton-Jacobi equation”, IFAC Proceedings Volumes, 31:13 (1998), 193–197 |
| 11. |
L. G. Shagalova, “A piecewise linear value function of a differential game with simple motions”, Tambov University Reports. Series: Natural and Technical Sciences, 12:4 (2007), 564–565 (In Russian) |
| 12. |
E. Hopf, “Generalized solutions of non-linear equations of first order”, Journal of Mathematics and Mechanics, 14:6 (1965), 951–973 |
| 13. |
B. N. Pshenichnyi, M. I. Sagaidak, “Differential games of prescribed duration”, Cybernetics, 1970, no. 6, 72–83 |
| 14. |
M. Bardi, L. Evans, “On Hopf's formulas for solutions of Hamilton–Jacobi equations”, Nonlinear Analysis: Theory, Methods and Applications, 8:11 (1984), 1373–1381 |
