Literature Cited
G. L. Kharatishvili, “Optimal processes with time-lag”, Tr. VTs Akad. Nauk GSSR,6, No. 4, 1–84 (1966).
R. Gabasov and S. V. Churakova, “A problem of optimal control in systems with aftereffect”, Differents. Uravneniya,2, No. 10, 1289–1299 (1966).
R. Gabasov and S. V. Churakova, “On the existence of optimal controls in systems with time-lag”, Differents. Uravneniya,3, No. 12, 2067–2080 (1967).
I. A. Ozhiganova, “On the theory of optimal systems with time-lag”, Proceedings of a Seminar on the Theory of Differential Equations with Retarded Argument [in Russian], Vol. 5, UDN (1967), pp. 193–196.
R. Gabasov and S. V. Churakova, “Necessary conditions for optimality in systems with time-lag”, Avt. i Telemekh., No. 1, 45–64 (1968).
R. Gabasov and F. M. Kirillova, “The maximum principle for optimation of systems with aftereffect”, Dokl. Akad. Nauk SSSR,194, No. 5, 995–998 (1970).
L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow (1969).
R. Gabasov, F. M. Kirillova, V. A. Srochko, and N. V. Tarasenko, “Optimality conditions of higher order, I, II, III”, Avt. i Telemekh., Nos. 5, 6, 7, 5-21, 5-24, 5-34 (1971).
R. Gabasov, “On the optimality of singular controls”, Differents. Urav.,4, No. 6, 1000–1011 (1968).
V. A. Srochko, “Singular controls in optimal systems”, Candidate's Dissertation [in Russian], Minsk (1970).
Fam Khyu Shak, “Singular controls in discrete systems”, Zh. Vychisl. Matem. i Matem. Fiz.,10, No. 4, 857–867 (1970).
L. T. Ashchekov and R. Gabasov, “On optimization of discrete systems”, Differents. Urav.,8, No. 6, 1068–1080 (1972).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 6, pp. 1180–1186, November–December, 1973.
Rights and permissions
About this article
Cite this article
Ashchepkov, L.T. On the optimality of singular controls in time-lag systems. Sib Math J 14, 825–831 (1973). https://doi.org/10.1007/BF00975887
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00975887