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Sergei M. Aseev was a participant in the 1986 Young Scientists Summer Program. He returned to the Institute in January 2001 to join the Dynamic Systems Project.

Dr. Aseev graduated from the Faculty of Applied Mathematics and Cybernetics, Moscow State University in 1980. In 1983 he defended his Ph.D. thesis and began his affiliation with the Steklov Institute of Mathematics of the Russian Academy of Sciences. In 1998 he received his doctorate in physics and mathematics from the Steklov Institute. Dr. Aseev is currently a Leading Research Scholar at the Steklov Institute. During the last decade he was also a Professor Associate at the Chair of Optimal Control of the Faculty of Applied Mathematics and Cybernetics of the Moscow State University.

Dr. Aseev is working in the field of optimal control, theory of differential inclusions and multivalued analysis. His current research focuses on optimal control problems arising in mathematical economics.

Last update: 25-SEP-2007

Aseev S, Besov K, & Kaniovski S (2019). Optimal Policies in the Dasgupta—Heal—Solow—Stiglitz Model under Nonconstant Returns to Scale. Proceedings of the Steklov Institute of Mathematics 304 (1): 74-109. DOI:10.1134/S0081543819010061.

Aseev S & Manzoor T (2018). Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model of Natural Resource Consumption. In: Control Systems and Mathematical Methods in Economics. Eds. Feichtinger, G., Kovacevic, R. & Tragler, G., pp. 221-245 Cham, Switzerland: Springer. ISBN 978-3-319-75169-610.1007/978-3-319-75169-6_11.

Aseev S & Veliov V (2017). *Another View of the Maximum Principle for Infinite-Horizon Optimal Control Problems in Economics.* Operations Research and Control Systems, Vienna University of Technology

Aseev S, Krastanov MI, & Veliov VL (2017). Optimality conditions for discrete-time optimal control on infinite horizon. Pure and Applied Functional Analysis 2 (3): 395-409.

Aseev S & Manzoor T (2016). Optimal Growth, Renewable Resources and Sustainability. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-16-017

Aseev SM, Krastanov MI, & Veliov VM (2016). *Optimality Conditions for Discrete-Time Optimal Control on Infinite Horizon.* Reseach Unit ORCOS, Vienna University of Technology

Aseev S, Besov K, & Kaniovski S (2016). *The Optimal Use of Exhaustible Resources Under Non-constant Returns to Scale.* Österreichisches Institut für Wirtschaftsforschung

Aseev S (2016). Existence and boundedness of optimal controls in infinite-horizon problems. In: International conference in memory of Academician Arkady Kryazhimskiy, 3-8 October 2016, Ekaterinburg, Russia.

Aseev SM (2016). Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints. Trudy Instituta Matematiki i Mekhaniki UrO RAN 22 (2): 18-27. DOI:10.21538/0134-4889-2016-22-2-18-27.

Aseev S, Chentsov AG, Davydov A, Grigorenko NL, Maksimov VI, Rovenskaya E, & Tarasiev AM (2016). In memory of Arkady Viktorovich Kryazhimskiy (1949-2014). Ural mathematical journal 2 (2): 3-15. DOI:10.15826/umj.2016.2.001.

Aseev SM & Veliov VM (2015). Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions. Proceedings of the Steklov Institute of Mathematics 291 (1): 22-39. DOI:10.1134/S0081543815090023.

Aseev SM (2015). On the boundedness of optimal controls in the infinite-horizon process. Proceedings of the Steklov Institute of Mathematics 291: 38-48. DOI:10.1134/S0081543815080040.

Aseev SM (2014). On some properties of the adjoint variable in the relations of the Pontryagin maximum principle for optimal economic growth problems. Proceedings of the Steklov Institute of Mathematics 278 (S1): 11-21. DOI:10.1134/S0081543814090028.

Manzoor T, Aseev Sergey, Rovenskaya Elena, & Muhammad A (2014). Optimal control for sustainable consumption of natural resources. In: 19th IFAC World Congress, 24-29 August 2014.

Aseev SM & Veliov VM (2014). *Maximum Principle for Infinite-horizon Optimal Control Problems under Weak Regularity Assumptions.* Research Report 2014-06, Research Unit ORCOS, Institute of Mathematical Methods in Economics, Vienna University of Technology, Austria (June 2014)

Aseev SM & Veliov VM (2014). Needle variations in infinite-horizon optimal control. In: Variational and Optimal Control Problems on Unbounded Domains. Eds. Wolansky, G & Zaslavski, AJ, RI: American Mathematical Society (Providence. ISBN 978-1-4704-1077-310.1090/conm/619.

Aseev SM (2013). On some properties of the adjoint variable in the relations of the Pontryagin maximum principle for optimal economic growth problems. Proceedings of the Institute of Mathematics and Mechanics UrB RAS 19 (4): 15-24.

Aseev SM, Besov KO, & Kaniovski S (2013). The problem of optimal endogenous growth with exhaustible resources revisited. In: Green Growth and Sustainable Development. Eds. Cuaresma, J Crespo, Palokangas, T & Tarasyev, A, pp. 3-30 Berlin/Heidelberg: Springer. 10.1007/978-3-642-34354-4_1.

Aseev SM & Veliov VM (2012). *Needle Variations in Infinite-Horizon Optimal Control.* Research Report 2012-04, Operations Research and Control Systems, Institute of Mathematical Methods in Economics, Vienna University of Technology, Austria (September 2012)

Aseev SM, Besov KO, Ollus S-E, & Palokangas T (2012). Optimal growth in a two-sector economy facing an expected random shock. Proceedings of the Steklov Institute of Mathematics: 4-34. DOI:10.1134/S0081543812020022.

Aseev SM, Besov KO, & Kryazhimskiy AV (2012). Infinite-horizon optimal control problems in economics. Russian Mathematical Surveys 67 (2): 195-253. DOI:10.1070/RM2012v067n02ABEH004785.

Aseev SM & Veliov VM (2012). Maximum principle for infinite-horizon optimal control problems with dominating discount. Dynamics of Continuous, Discrete and Impulsive Systems, Series B (DCDIS-B) 19 (1): 43-63.

Aseev SM & Veliov VM (2012). Necessary optimality conditions for improper infinite-horizon control problems. In: Operations Research Proceedings 2011. Eds. Klatte, D, Luthi, HJ & Schmedders, K, Berlin-Heidelberg: Springer. 10.1007/978-3-642-29210-1_4.

Aseev SM, Besov KO, & Kaniovski S (2010). Optimal Endogenous Growth with Exhaustible Resources. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-10-011

Aseev SM, Besov KO, Ollus S-E, & Palokangas T (2010). Optimal economic growth with a random environmental shock. In: Dynamic Systems, Economic Growth, and the Environment. Eds. Cuaresma, J. Crespo, Palokangas, T. & Tarasyev, A., Heidelberg: Springer-Verlag. ISBN 978-3-642-02131-210.1007/978-3-642-02132-9_6.

Aseev SM (2009). *Infinite-Horizon Optimal Control with Applications in Growth Theory (Lecture Notes).* MSU CMC Publications Department, MAKS Press, Moscow, Russia

Aseev SM & Kryazhimskiy AV (2008). Shadow prices in infinite-horizon optimal control problems with dominating discounts. Applied Mathematics and Computation 204 (2): 519-531. DOI:10.1016/j.amc.2008.05.031.

Aseev SM & Kryazhimskiy AV (2008). On a class of optimal control problems arising in mathematical economics. Proceedings of the Steklov Institute of Mathematics 262 (1): 10-25. DOI:10.1134/S0081543808030036.

Aseev SM & Kryazhimskiy AV (2007). The Pontryagin maximum principle and optimal economic growth problems. Proceedings of the Steklov Institute of Mathematics 257 (1): 1-255. DOI:10.1134/S0081543807020010.

Aseev SM & Kryazhimskiy AV (2007). On optimal labor allocation policy for technological followers. In: Structured Models in Population and Economic Dynamics, Viennese Vintage Workshop, 26-27 November 2007.

Aseev SM & Kryazhimskiy AV (2007). Optimal labor allocation policy for technological followers. In: IIASA-Tokyotech Workshop on Hybrid Management of Technology in the 21st Century.

Aseev SM & Kryazhimskiy AV (2007). The Pontryagin maximum principle and optimal economic growth problems. In: Proceedings of Ninth Workshop on Optimal Control, Dynamic Games and Nonlinear Dynamics, 7-9 May 2007.

Aseev SM & Kryazhimskiy AV (2007). A dynamic model of optimal capital accumulation for an enterprise. In: IIASA-Tokyotech Workshop on Hybrid Management of Technology in the 21st Century, 8-9 September 2007.

Aseev SM, Hutschenreiter G, & Kryazhimskiy AV (2005). A dynamical model of optimal investment in R&D. Journal of Mathematical Sciences 126 (6): 1495-1535. DOI:10.1007/s10958-005-0040-3.

Aseev SM (2005). *Optimal Control and Dynamic Models in Biology.* IIASA DYN-NEA Biologizing Control Theory Workshop, 19-20 December 2005, Laxenburg, Austria

Aseev SM, Hutschenreiter G, Kryazhimskiy AV, & Lysenko A (2005). A dynamic model of optimal investment in research and development with international knowledge spillovers. Mathematical and Computer Modeling of Dynamical Systems 11 (2): 125-133. DOI:10.1080/1387395050500067361.

Aseev SM & Katsumoto M (2005). *Dynamic Optimization of Innovator's Behavior on Technological Products Market.* 6th IIASA-TITech Technical Meeting, May 2005, Laxenburg, Austria

Aseev SM & Katsumoto M (2005). *Leader-leader Stochastic Innovation Race: Preliminary Results and Numerical Simulations.* 7th IIASA-TITech Technical Meeting, September 2005, Laxenburg, Austria

Aseev SM & Kryazhimskiy AV (2005). The Pontryagin Maximum Principle and Transversality Conditions for a Class of Optimal Control Problems with Infinite Time Horizons. IIASA Research Report (Reprint). IIASA, Laxenburg, Austria: RP-05-003. Reprinted from SIAM Journal on Control and Optimization, 43(3):1094-1119 [2004].

Katsumoto M & Aseev SM (2005). *A Modeling Analysis of Business Strategies in the Innovative Industry.* 20th Conference of Japan Society for Science Policy and Research Management, National Graduate Institute for Policy Studies, 22-23 October 2005, Tokyo, Japan

Katsumoto M & Aseev SM (2005). *A Modeling Approach to Innovation Race: Industrial Dynamics and Optimization Theory.* Spring IIASA Methodology Workshop, 3 May 2005, Laxenburg, Austria

Aseev SM & Katsumoto M (2004). A Dynamic Model of Stochastic Innovation Race: Leader-Follower Case. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-04-035

Aseev SM (2004). *Problems of Dynamic Optimization under Risky Factors.* Working Paper No. 42, Free University of Bolzano, Italy [2004]

Aseev SM & Kryazhimskiy AV (2004). 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 (3): 1094-1119. DOI:10.1137/S0363012903427518.

Aseev SM & Kryazhimskiy AV (2004). The Pontryagin maximum principle for an optimal control problem with a functional specified by an improper integral. Doklady Mathematics 69 (1): 89-91.

Aseev SM & Smirnov AI (2004). The Pontryagin maximum principle for the problem of optimally crossing a given domain. Doklady Mathematics 69 (2): 243-245.

Aseev SM & Kryazhimskiy AV (2003). The Pontryagin Maximum Principle for Infinite-Horizon Optimal Controls. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-03-013

Aseev SM, Hutschenreiter G, Kryazhimskiy AV, & Lysenko A (2003). Optimization of economic growth via optimal investment in R&D. In: Proceedings 4th MATHMOD Vienna - Fourth International Symposium on Mathematical Modelling, 5-7 February 2003.

Aseev SM, Hutschenreiter G, & Kryazhimskiy AV (2002). A Dynamical Model of Optimal Allocation of Resources to R&D. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-02-016

Aseev SM, Hutschenreiter G, & Kryazhimskiy AV (2002). *Optimal Investment in R&D with International Knowledge Spillovers.* WIFO Working Papers, No. 175 (March 2002)

Aseev SM, Kryazhimskiy AV, & Tarasyev AM (2001). First Order Necessary Optimality Conditions for a Class of Infinite Horizon Optimal Control Problems. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-01-007

Aseev SM (2001). Extremal problems for differential inclusions with state constraints. Proceedings of the Steklov Institute of Mathematics: 1-63.

Aseev SM, Kryazhimskiy AV, & Tarasyev AM (2001). The Pontryagin maximum principle and transversality conditions for a class of optimal economic growth problems. In: Preprints of the 5th IFAC Symposium on Nonlinear Control Systems, 4-6 July 2001.

Aseev SM, Kryazhimskiy AV, & Tarasyev AM (2001). The Pontryagin maximum principle and transversality conditions for an optimal control problem with infinite time interval. Proceedings of the Steklov Institute of Mathematics: 64-80.

Aseev SM (1999). Methods of regularization in nonsmooth problems of dynamic optimization. Journal of Mathematical Sciences 94 (3): 1366-1393.

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