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Article

Kryazhimskiy, A.V., Tarasyev, A.M., Usova, A.A. & Wang, W. (2016). Proportional economic growth under conditions of limited natural resources. Proceedings of the Steklov Institute of Mathematics 291 (1), 127-145. 10.1134/S008154381508012X.

Tarasyev, A.M., Usova, A.A. & Shmotina, Y.V. (2014). Projection of the Russian economic development in the framework of the optimal control model by investments in fixed assets. Economy of Region 3 (2014), 265-273.

Tarasyev, A.M., Usova, A.A., Russkikh, O.V. & Wang, W. (2014). Optimal trajectory construction by integration of Hamiltonian dynamics in models of economic growth uder resource constraints. Proceedings of the Institute of Mathematics and Mechanics UrB RAS 20 (4), 258-276.

Tarasyev, A.M. & Usova, A.A. (2013). Application of a nonlinear stabilizer for localizing search of optimal trajectories in control problems with infinite horizon. Numerical Algebra, Control and Optimization (NACO) 3 (3), 389-406. 10.3934/naco.2013.3.389.

Tarasyev, A.M. & Usova, A.A. (2012). Stabilizing the Hamiltonian system for constructing optimal trajectories. Proceedings of the Steklov Institute of Mathematics 277 (1), 248-265. 10.1134/S0081543812040189.

Tarasyev, A.M. & Usova, A.A. (2011). Influence of production function parameters on the solution and value function in optimal control problem. Mathematical Game Theory and Applications 3 (3), 85-115.

Tarasyev, A.M. & Usova, A.A. (2010). Construction of a regulator for the Hamiltonian system in a two-sector economic growth model. Proceedings of the Steklov Institute of Mathematics 271 (1), 265-285. 10.1134/S008154381004019X.

Tarasyev, A.M. & Usova, A.A. (2010). Nonlinear stabilizer constructing for two-sector economic growth model. Proceedings of the Institute of Mathematics and Mechanics UrB RAS 16 (5), 297-307.

Book Section

Usova, A.A. & Tarasyev, A.M. (2015). Optimal control problems on optimization of resources productivity. In: Current Trends in Analysis and Its Applications (Proceedings of the 9th ISAAC Congress, Kraksw 2013). Eds. Mityushev, V. & (Eds.), M.V. Ruzhansky, Basel: Birkhauser. ISBN 978-3-319-12576-3 10.1007/978-3-319-12577-0_18.

Tarasyev, A.M. & Usova, A.A. (2013). Analysis of the model of resources productivity optimization. In: Regional Trajectories of Social-Economic Development. Eds. Tatarkin, AI & Minakir, PA, Ural Branch of Russian Academy of Sciences: Institute of Economics.

Tarasyev, A.M. & Usova, A.A. (2013). Nonlinear stabilizers in optimal control problems with infinite time horizon. In: System Modeling and Optimization. Eds. Hoemberg, D & Troeltzsch, F, Berlin: Springer. 10.1007/978-3-642-36062-6_29.

Tarasyev, A.M. & Usova, A.A. (2012). Value function in bilinear control problem with infinite horizon. In: Assessment of Factors of Growth and Projection of Social-Economic Development of Russia. Eds. Tatarkin, AI & Minakir, PA, Ural Branch of Russian Academy of Sciences: Institute of Economics.

Conference or Workshop Item

Tarasyev, A.M., Usova, A.A. & Shmotina, Y.V. (2014). Prognostic modeling of optimal trends of economic growth. In: Proceedings of the XI International Scientific-Applied Conference on Problems on Economic Development in Modern World, "Sustainable Development of Russian Regions", April 2014.

Tarasyev, A.M. & Usova, A.A. (2014). Stepwise approximation in problem of optimization of natural resources productivity. In: Proceedings, 45th International School-Conference "Contemporay Problems in Mathematics", 2-8 February 2014.

Tarasyev, A.M. & Usova, A.A. (2013). Algorithms for construction of optimal trajectories based on control approximations in problems on infinite time horizon. In: Proceedings of the Scientific Conference on Informatics Problems (SPISOK 2013), 23-26 April 2013.

Tarasyev, A.M. & Usova, A.A. (2012). Global stabilization of the Hamiltonian system in the two-sector economic growth model. DOI:10.3182/20120913-4-IT-4027.00057. In: Proceedings, 15th IFAC Workshop "Control Applications of Optimization" CAO'2012, 13-16 September 2012.

Tarasyev, A.M. & Usova, A.A. (2012). Algorithms of construction for optimal solution in modular models of economic growth. In: Proceedings of the International Conference "Differential Equations and Optimal Control" dedicated to the 90th Anniversary of Academician E.F. Mischenko, 16-17 April 2012.

Tarasyev, A.M. & Usova, A.A. (2011). An iterative direct-backward procedure for construction of optimal trajectories in control problems with infinite horizon. DOI:10.3182/20110828-6-IT-1002.01836. In: Proceedings, 18th IFAC World Congress, 28 August - 2 September 2011.

Tarasyev, A.M. & Usova, A.A. (2011). The value function as a solution of Hamiltonian systems in linear optimal control problems with infinite horizon. DOI:10.3182/20110828-6-IT-1002.00835. In: Proceedings, 18th IFAC World Congress, 28 August - 2 September 2011.

Other

Tarasyev, A.M. & Usova, A.A. (2014). Model of development of resource-dependent economy. [[Abstracts, Systems Dynamics and Control Process (SDCP 2014)]]; 15-20 September 2014, Ekaterinbrg, Russia pp. 187-188 (2014)

Sanderson, W.C., Tarasyev, A.M. & Usova, A.A. (2010). Capital vs education: Assessment of economic growth from two perspectives (Abstract). In: [[NOLCOS 2010]], 8th IFAC Symposium on Nonlinear Control Systems, 1-3 September 2010, University of Bologna, Italy