Abstract: | Approximate methods of solving problems of optimal control are classified and analyzed, and their domain of applicability is indicated. Among the special problems the problem of the choice of optimal trajectories for aircraft is considered.Translated from Itogi Nauki i Tekhniki, Matematicheskii Analiz, Vol. 14, pp. 101–166, 1977.The authors of the survey are grateful to N. N. Bolotnik, M. Yu. Borodovskii, G. G. Egiyan, V. A. Korneev, V. M. Mamalyga, A. A. Mironov, Yu. R. Roshchin, and A. P. Seiranyan for their assistance in compiling the bibliography and to R. P. Soldatova and I. S. Kheiker for their help in the shaping of the paper. |