The paper gives a brief overview of the main directions of research and educational activities of one of the founders of the Irkutsk school of optimal control Professor V. A. Srochko.

Vladimir Antonik, Cand. Sci. (Phys.–Math.), Assoc. Prof., Irkutsk State University, 1, K. Marx st., Irkutsk, 664003, Russian Federation, tel.: (3952)521298, email: vga@math.isu.ru

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

Antonik V.G., Arguchintsev A.V. To the 75th Anniversary of the Birth of Professor V. A. Srochko. The Bulletin of Irkutsk State University. Series Mathematics, 2020, vol. 34, pp. 126-134. (in Russian) https://doi.org/10.26516/1997-7670.2020.34.126

1. Aksenyushkina E.V., Srochko V.A. Sufficient optimality conditions for a class of nonconvex control problems. Comput. Math. Math. Phys., 2015, vol. 55, no. 10, pp. 1642-1652. https://doi.org/10.1134/S0965542515100048
2. Antonik V.G., Srochko V.A. The solution of optimal control problems using linearization methods. Comput. Math. Math. Phys., 1992, vol. 32, no. 7, pp. 859-871.
3. Antonik V.G., Srochko V.A. The projection method in linear-quadratic problems of optimal control. Comput. Math. Math. Phys., 1998, vol. 38, no. 4, pp. 543-551.
4. Antonik V.G., Srochko V.A. Method for nonlocal improvement of extreme controls in the maximization of the terminal state norm. Comput. Math. Math. Phys., 2009, vol. 49, no. 5, pp. 762-775. https://doi.org/10.1134/S0965542509050030
5. Antonik V.G., Srochko V.A. Optimality conditions of the maximum principle type in bilinear control problems. Comput. Math. Math. Phys., 2016, vol. 56, no. 12, pp. 2023-2034. https://doi.org/10.1134/S0965542516120022
6. Arguchintsev A.V., Dykhta V.A., Srochko V.A. Optimal control: nonlocal conditions, computational methods, and the variational principle of maximum. Russian Math., 2009, vol. 53, no. 1, pp. 1-35. https://doi.org/10.3103/S1066369X09010010
7. 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.
8. Vasiliev O.V., Srochko V.A., Terletsky V.A. Metody optimizatsii i ikh prilozheniya. II. Optimalnoe upravlenie [Optimization Methods and their Applications. Part II. Optimal Control]. Novosibirsk, Nauka Publ., 1990, 151 p.
9. Gabasov R., Kirillova F.M., Srochko V.A., Tarasenko N.V. High order optimality conditions. I. Calculation of singular controls. Autom. Remote Control, 1971, vol. 32, no. 5, pp. 689-704.
10. Gabasov R., Kirillova F.M., Srochko V.A., Tarasenko N.V. High order optimality conditions. II. Hihh order necessary optimality conditions. Autom. Remote Control, 1971, vol. 32, no. 6, pp. 857-875.
11. Gabasov R., Srochko V.A. The study of singular controls by means of a variation packet. Differential Equations, 1970, vol. 6, no. 2, pp. 260-275. (in Russian)
12. Srochko V.A. A connection between two necessary conditions for the optimality of singular controls. Differential Equations, 1970, vol. 6, no. 2, pp. 387-389. (in Russian)
13. Srochko V.A. A dual method of numerical solution of optimal control problems in linear systems. Soviet Math., 1984, vol. 28, no. 6, pp. 99-103.
14. Srochko V.A. The phase linearization method in optimal control problems with a free right end. Russian Math., 1992, vol. 36, no. 7, pp. 68-75.
15. Srochko V.A. The quadratic phase approximation method for solving optimal control problems. Russian Math., 1993, vol. 37, no. 12, pp. 81-88.
16. Srochko V.A. Iteratsionnye metody resheniya zadach optimal’nogo upravleniya [Iterative Solution of Optimal Control Problems]. Moscow, Fizmatlit Publ., 2000, 160 p.
17. Srochko V.A. Modernization of gradient-type methods in optimal control problems. Russian Math., 2002, vol. 46, no. 12, pp. 64-76.
18. Srochko V.A. Chislennye metody. Kurs lektsiy [Computational Methods. Course of Lectures]. Saint Petersburg, Lan Publ., 2010, 208 p.
19. Srochko V.A. On numerical solution of some problems of minimax control. Autom. Remote Control, 2013, vol. 74, no. 6, pp. 911-918. https://doi.org/10.1134/S0005117913060027
20. Srochko V.A. The simplest nonconvex control problem. The maximum principle and sufficient optimality conditions. The Bulletin of Irkutsk State University. Series Mathematics, 2017, vol. 19, pp. 184-194. https://doi.org/10.26516/1997-7670.2017.19.184 (in Russian)
21. Srochko V.A., Aksenyushkina E.V. Parameterization of some control problems by linear systems. The Bulletin of Irkutsk State University. Series Mathematics, 2019, vol. 30, pp. 83-98. https://doi.org/10.26516/1997-7670.2019.30.83 (in Russian)
22. Srochko V.A., Antonik V.G. Sufficient optimality conditions for extremal controls based on functional increment formulas. Russian Math., 2014, vol. 58, no. 8, pp. 78-83. https://doi.org/10.3103/S1066369X14080118
23. Srochko V.A., Antonik V.G. Optimality conditions for extremal controls in bilinear and quadratic problems. Russian Math., 2016, vol. 60, no. 5, pp. 75-80. https://doi.org/10.3103/S1066369X1605008X
24. Srochko V.A., Dushutina S.N., Pudalova E.I. Regularization of the maximum principle and of improvement methods in quadratic optimal control problems. Russian Math., 1998, vol. 42, no. 12, pp. 77-87.
25. Srochko V.A., Mamonova N.V. Iterative procedures for solving optimal control problems based on quasigradient approximations. Russian Math., 2001, vol. 45, no. 12, pp. 52-64.
26. Srochko V.A., Pudalova E.I. Methods for the nonlocal improvement of admissible controls in linear problems with delay. Russian Math., 2000, vol. 44, no. 12, pp. 76-86.
27. Srochko V.A., Rozinova N.S. Some issues of search of extremal processes in nonconvex problems of optimal control. Autom. Remote Control, 2011, vol. 72, no. 6, pp. 1271-1281. https://doi.org/10.1134/S0005117911060154
28. Srochko V.A., Ushakova S.N. The method of complete quadratic approximation in optimal control problems. Russian Math., 2004, vol. 48, no. 1, pp. 85-90.
29. Srochko V.A., Ushakova S.N. The bilinearization method for solving problems of the optimization of programmed controls. Russian Math., 2005, vol. 49, no. 12, pp. 59-64.
30. Srochko V.A., Khamidulin R.G. The method of successive approximations in optimal control problems with boundary conditions. U.S.S.R. Comput. Math. Math. Phys., 1986, vol. 26, no. 2, pp. 113-122.
31. Srochko V.A., Antonik V.G., Aksenyushkina E.V. Sufficient optimality conditions for extremal controls based on functional increment formulas. Numerical Algebra, Control and Optimization, 2017, vol. 7, no. 2, pp. 191-199. http://www.aimsciences.org/article/doi/10.3934/naco.2017013