The paper presents a brief overview of the main areas of research and educational activities of one of the founders of the Irkutsk school of optimal control, the first director of the Institute of Mathematics and Economics of Irkutsk State University O. V. Vasiliev.

Alexander Arguchintsev, Dr. Sci. (Phys.–Math.), Prof., Irkutsk State University, 1, K. Marks St., Irkutsk, 664003, Russian Federation, tel.: (3952)998440, e-mail: arguch@math.isu.ru

Vladimir Srochko, Dr. Sci. (Phys.–Math.), Prof., Irkutsk State University, 1, K.Marks St., Irkutsk, 664003, Russian Federation, tel.: (3952)521276, e-mail: srochko@math.isu.ru

Arguchintsev A.V., Srochko V.A. On the Occasion of the 80th Birthday of Professor O.V. Vasiliev (1939–2002). The Bulletin of Irkutsk State University. Series Mathematics, 2019, vol. 30, pp. 141-150. (in Russian) https://doi.org/10.26516/1997-7670.2019.30.141

1. Arguchintsev A.V. Optimization of boundary and distributed controls in semilinear hyperbolic systems. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1991, 145 p. (in Russian)
2. Arguchintsev A.V. Optimalnoe upravlenie giperbolicheskimi sistemami [Optimal Control of Hyperbolic Systems]. Moscow, Fizmatlit Publ., 2007, 186 p.
3. Ashchepkov L.T., Vasiliev O.V. On the optimality of singular controls in Goursat-Darboux systems. U.S.S.R. Comput. Math. Math. Phys., 1975, vol. 15, no. 5, pp. 63-73.
4. Ashchepkov L.T., Vasiliev O.V., Kovalenok I.L. Strengthened Condition for the Optimization of Singular Controls in a Goursat-Darboux System. Differential Equations, 1980, vol. 16, no. 6, pp. 1054-1059. (in Russian)
5. Ashchepkov L.T., Davydov D.V. Universalnye resheniia interval’nykh zadach optimizatsii i upravleniia [Universal Solutions of Interval Problems of Optimization and Control]. Moscow, Nauka Publ., 2006. 152 p.
6. Badam Ulemj. On parametric optimization of one class of dynamic systems. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1979, 136 p. (in Russian)
7. Batkhuyag D. Necessary optimality conditions and their applications for lumped and distributed parameter systems. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1982, 115 p. (in Russian)
8. Belykh Yu.E. Optimization methods for linear dynamic systems with special control restrictions. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1986, 138 p. (in Russian)
9. Beltyukov N.B. Some second-order methods of solving optimal control problems. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1983, 127 p. (in Russian)
10. Benikov A.I. Methods of minimizing differentiable functionalities on convex sets and their application to optimal control problems. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1982, 140 p. (in Russian)
11. Vasiliev O.V. Some problems of optimal control searching. Cand.Sci. [Phys.-Math.] Abstr. of Diss. Irkutsk, 1967, 18 p. (in Russian)
12. Vasiliev O.V. A gradient method for solving a class of optimal control problems. U.S.S.R. Comput. Math. Math. Phys., 1967, vol. 7, no. 1, pp. 66-78.
13. Vasiliev O.V. Qualitative and constructive methods of optimizing controlled processes with distributed parameters. Dr.Sci. [Phys.-Math.] Dissertation, Irkutsk, 1984, 247 p. (in Russian)
14. Vasiliev O.V. Lektsii po metodam optimizatsii [Lectures on Optimization Methods]. Irkutsk, Irkutsk State University Publ., 1994, 344 p.
15. Vasiliev O.V., Arguchintsev A.V. Metody optimizatsii v zadachakh i uprazhneniyakh [Optimization Methods in Tasks and Exercises]. Moscow, Fizmatlit Publ., 1999, 208 p.
16. Vasiliev O.V., Kirillova F.M. Optimal processes in two-parameter discrete systems. Dokl. Akad. Nauk SSSR, 1967, vol. 175, no. 1/3, pp. 17–19. (in Russian)
17. Vasiliev O.V., Srochko V.A. Optimization of a class of controlled processes with distributed parameters. Siberian Mathematical Journal, 1978, vol. 19, no. 2, pp. 328-332.
18. Vasiliev O.V., Terletsky V.A. Ob interpretacii odnogo iz aspernjv prognozirovaniya voln tsunami kak zadachi optimalnogo upravleniya [On Interpretation of One Aspect of Tsunami Wave Forecasting as an Optimal Control Problem]. Tsunami Wave Generation and Propagation Processes. Moscow, Shirshov Institute of Oceanology Publ., 1982, pp. 24-31.
19. Vasiliev O.V., Tyatyuskin A.I. A method for solving optimal control problems that is based on the maximum principle. U.S.S.R. Comput. Math. Math. Phys., 1981, vol. 21, no. 6, pp. 14-22.
20. Levchenko N.M. Issues of dependence of discontinuous systems solutions on parameters and their application in optimal control problems. Cand.Sci. [Phys.- Math.] Diss. Irkutsk, 1984, 136 p. (in Russian)
21. Vasiliev O.V., Arguchintsev A.V., Srochko V.A. et al. Metody issledovaniya zadach optimalnogo upravleniya slozhnymi dinamicheskimi sistemami [Methods of investigation of optimal control problems of complex dynamic systems] : Report 94-01-01559. Moscow, Russian Foundation for Basic Research, 1994. Available at: https://elibrary.ru/item.asp?id=223324.
22. Rytsar matematiki: k 70-letiyu so dnya rozhdeniya Olega Vladimirovicha Vasilieva (1939-2002) [Knight of Mathematics: to the 70th anniversary of the birth of Oleg Vasilyev]. Irkutsk, Irkutsk State University Publ., 2009, 33 p.
23. Srochko V.A. Iteratsionnye metody resheniya zadach optimal’nogo upravleniya [Iterative Solution of Optimal Control Problems]. Moscow, Fizmatlit Publ., 2000, 160 p.
24. Strekalovsky A.S. Some questions of vector optimization in distributed parameter systems. Cand.Sci. [Phys.-Math.] Dissertation, Irkutsk, 1978, 166 p. (in Russian)
25. Strekalovsky A.S. Elementy nevypukloi optimizatsii [Elements of Nonconvex Optimization]. Novosibirsk, Nauka Publ., 2003, 352 p.
26. Strekalovsky A.S., Orlov A.V. Bimatrichnye igry i bilineinoe programmirovanie [Bimatrix Games and Bilinear Programming]. Moscow, Fizmatlit Publ., 2007. 224 p.
27. Terletsky V.A. Necessary optimality conditions and numerical methods of optimization in systems of semilinear hyperbolic equations. Cand. Sci. [Phys.- Math.] Diss. Irkutsk, 1983, 131 p. (in Russian)
28. Tyatyushkin A.I. Mnogometodnaya tekhnologiya optimizatsii upravlyamykh sistem [A Multimethod Technique of Optimization of Control Systems]. Novosibirsk, Nauka Publ., 2006, 343 p.
29. Enkhbat R. Algorithms of global maximization of convex functions on special structure sets. Cand. Sci. [Phys.-Math.] Diss. Irkutsk, 1990, 154 p. (in Russian)
30. Vasiliev O.V. Optimization Methods. Atlanta, World Federation Publishers Company, 1996, 276 p.