Affiliation: Steklov Mathematical Institute, Gubkina 8, 119991 Moscow, Russia
http://www.mi.ras.ru

Telephone/Fax/E-mail: +7 (495) 938-37-51, +7 (495) 135-05-55, aseev@mi.ras.ru

Date of birth: 04.12.1957

Nationality: Russia

Education: Master of Science, Faculty of Computational Mathematics and Сybernetics,
Moscow State University, Moscow, Russia, 1980;
Candidate of Physics and Mathematics (PhD), 1983, Steklov Mathematical Institute;
Doctor of Physics and Mathematics, 1998, Steklov Mathematical Institute.

Academic Career:

1983–till now:	Leading Research Scholar (full time), Department of Differential Equations, Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia;
1983-2000, 2005-till now:	Professor (part time), Moscow State University, Faculty of Computational Mathematics and Cybernetics, Moscow, Russia;
2001-till now:	Research Scholar (2001-2004 full time; 2005-till now part time), International Institute for Applied Systems Analysis, Laxenburg, Austria;

Specialization: Optimal Control Theory, Nonsmooth Analysis, Mathematical Modelling in Economics

Selected publications:

1. State constraints in optimal control. The degeneracy phenomenon, System & Control Letters, 26, 267-273 (1995) (with A.V. Arutyunov).
   
2. Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints, SIAM J. on Control and Optimization, 35, 930-952 (1996) (with A.V. Arutyunov).
   
3. Methods of regularization in nonsmooth problems of dynamic optimization, Journal of Math. Sci. 94, No. 3, 1366-1393 (1999).
   
4. Extremal problems for differential inclusions with state constraints, Proceedings of the Steklov Institute of Mathematics, 233, 1-63 (2001).
   
5. The Pontryagin maximum principle and transversality conditions for an optimal control problem with infinite time interval, Proceedings of the Steklov Institute of Mathematics, 233, 64-80 (2001) (with A.V. Kryazhimskii and A.M. Tarasyev).
   
6. The Pontryagin maximum principle for an optimal control problem with a functional specified by an improper integral, Doklady Mathematics, 69, No. 1, 89-91 (2004)
   (with A.V. Kryazhimsky).
   
7. The Pontryagin maximum principle for the problem of optimally crossing a given domain, Doklady Mathematics, 69, No. 2, 243-245 (2004) (with A.I. Smirnov).
   
8. The Pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons, SIAM Journal on Control and Optimization, 43, No. 3 (2004), 1094-1119 (with A.V. Kryazhimsky).
   
9. First order necessary optimality conditions for the problem of optimally crossing a given domain, Nonlinear Dynamics and Control. Issue 4, collected papers, Moscow, Fizmatlit, 179-204 (2004) (with A.I. Smirnov). English translation in Computational Mathematics and Modeling, 18, No. 4, 397-419 (2007).
   
10. A dynamical model of optimal investment in R&D, Journal of Mathematical Sciences, 126, No. 6, 1495-1535 (2005) (with G. Hutschenreiter, A.V. Kryazhimskiy).
    
11. A dynamical model of optimal investment in research and development, Mathematical and Computer Modeling of Dynamical Systems, 11, No. 2, 123-133 (2005) (with G. Hutschenreiter, A.V. Kryazhimskiy and A. Lysenko).
12. The Pontryagin maximum principle and optimal economic growth problems, Proceedings of the Steklov Institute of Mathematics, 257, 5-255 (2007) (with A.V. Kryazhimskii).