01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date:
1.11.1939
Keywords:
optimal control, optimization, dynamic systems control.
Subject:
His research interests include mathematical problems of optimal control in ordinary and partial differential equations: necessary optimality conditions; singular controls; inverse problems of optimal control, inverse problems of synthesis of optimal control; inverse problems of mathematical physics; computational methods in optimal control problems based on necessary optimality conditions and varied variants of a cost functional increment formulas. O. V. Vasiliev derived the first original results in the field of singular controls for partial differential equations. These results became the basis for singular control theory in partial differential equations. Another popular series of Vasiliev's papers and books is devoted to computational methods for optimal control problems. A number of effective convergent procedures was developed and applied to control problems in economics. Finally, the third series of O. V. Vasiliev's papers is devoted to study of inverse problems of mathematical physiscs by optimal control methods. Here O. V. Vasiliev has stated and studies tsumani problem. The problem is to determine an ocean bottom shift such as evokes a tsunami wave of the given profile. He also studied the problem of recreation of temperature conductivity of a rod for the given temperature assignment along its length. He was a supervisor of 12 Candidates of Mathematics. 6 his disciples are Dr. of Sc., Professors.
Biography
Since 1972 — Head of Chair of Optimization Methods, Dean of Mathematical Department. Since 1966 he works at Irkutsk State University.
Honored Scientist of Russian Federation (1991); Corresponding Member of the Russian Natural Sciences Academy (since 1992); Honored Scientist of Mongolia (1992); Active Member of the International Academy of Nonlinear Sciences (since 1996); Member of Editorial Board of the Russian Journal "Izvestiya vysshikh uchebnykh zavedenii. Matematika" (since 1990). He was awarded with two State medals.
Main publications:
O. V. Vasiliev. Optimization Methods. Atlanta, USA: Worls Federation Publishers Company, Inc., 1996, 276 p.
O. V. Vasiliev, E. A. Lutkovskaya, “On a procedure for improving control in parametric synthesis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 12, 39–43; Russian Math. (Iz. VUZ), 46:12 (2002), 38–41
2000
2.
O. O. Vasil'eva, O. V. Vasil'ev, “On the search for equilibrium controls in an $m$-person differential game”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 12, 9–14; Russian Math. (Iz. VUZ), 44:12 (2000), 7–12
A. V. Burdukovskaya, O. V. Vasiliev, “Optimization of systems of canonical hyperbolic equations with smooth bounded controls”, Zh. Vychisl. Mat. Mat. Fiz., 40:1 (2000), 43–53; Comput. Math. Math. Phys., 40:1 (2000), 40–50
A. V. Arguchintsev, O. V. Vasiliev, “Iterative processes of the maximum principle and their modifications in systems with distributed parameters”, Differ. Uravn., 32:6 (1996), 797–803; Differ. Equ., 32:6 (1996), 803–809
O. V. Vasiliev, N. V. Nadezhkina, “On a class of inverse optimal control problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 3, 14–20; Russian Math. (Iz. VUZ), 40:3 (1996), 12–18
1995
6.
O. V. Vasiliev, V. A. Terletskii, “Optimal control of a boundary value problem”, Trudy Mat. Inst. Steklov., 211 (1995), 121–130; Proc. Steklov Inst. Math., 211 (1995), 109–117
O. V. Vasil'ev, A. I. Tyatyushkin, “A method for solving optimal control problems that is based on the maximum principle”, Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981), 1376–1384; U.S.S.R. Comput. Math. Math. Phys., 21:6 (1981), 14–22
L. T. Ashchepkov, O. V. Vasiliev, I. L. Kovalenok, “A strong optimality condition for singular controls in a Goursat–Darboux system”, Differ. Uravn., 16:6 (1980), 1054–1059
O. V. Vasiliev, “Optimality of singular boundary controls in systems with distributed parameters”, Upravliaemie systemy, 1979, no. 18, 4–13
1978
10.
O. V. Vasiliev, V. A. Srochko, “On the optimization of a class of controllable processes with distributed parameters”, Sibirsk. Mat. Zh., 19:2 (1978), 466–470; Siberian Math. J., 19:2 (1978), 328–332
O. V. Vasiliev, “On the study of singular control in a system with distributed parameters”, Upravliaemie systemy, 1976, no. 15, 3–15
1975
12.
O. V. Vasiliev, A. I. Tyatyushkin, “A certain problem of optimal control in a linear system of hyperbolic type”, Upravliaemie systemy, 1975, no. 14, 11–23
13.
L. T. Ashchepkov, O. V. Vasiliev, “The optimality of singular controls in Goursat–Darboux systems”, Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975), 1157–1167; U.S.S.R. Comput. Math. Math. Phys., 15:5 (1975), 63–73
O. V. Vasiliev, A. I. Tyatyushkin, “On the computation of the optimal programmed control in a certain problem with distributed parameters”, Zh. Vychisl. Mat. Mat. Fiz., 15:4 (1975), 1047–1053; U.S.S.R. Comput. Math. Math. Phys., 15:4 (1975), 229–236
O. V. Vasiliev, “A gradient method for solving a class of optimal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 7:1 (1967), 52–61; U.S.S.R. Comput. Math. Math. Phys., 7:1 (1967), 66–78
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