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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/79576 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/79576 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/79576 archive 353 disk0/00/01/46/61 2017-06-12 08:24:50 2021-08-27 17:29:06 2017-06-12 08:24:50 article show Krasovskii A.A. 8266 0000-0003-0940-9366 Lebedev P.D. Tarasyev A.M. pub prog_esm mathematical modeling, optimal growth problem, Pontryagin’s maximum principle, steady states Published in Russian in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 5, pp. 768–782. We consider a neoclassical (economic) growth model. A nonlinear Ramsey equation, modeling capital dynamics, in the case of Cobb-Douglas production function is reduced to the linear differential equation via a Bernoulli substitution. This considerably facilitates the search for a solution to the optimal growth problem with logarithmic preferences. The study deals with solving the corresponding infinite horizon optimal control problem. We consider a vector field of the Hamiltonian system in the Pontryagin maximum principle, taking into account control constraints. We prove the existence of two alternative steady states, depending on the constraints. A proposed algorithm for constructing growth trajectories combines methods of open-loop control and closed-loop regulatory control. For some levels of constraints and initial conditions, a closed-form solution is obtained. We also demonstrate the impact of technological change on the economic equilibrium dynamics. Results are supported by computer calculations. 2017-05 published Springer-Verlag 10.1134/S0965542517050050 164 public Computational Mathematics and Mathematical Physics 57 5 770-783 TRUE 0044-4669 FALSE no info:eu-repo/semantics/article