Anton O. Belyakov     (Moscow School of Economics, Lomonosov Moscow State University, Moscow, 119992; National Research Nuclear University “MEPhI”, Moscow, 115409; Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, 620990, Russian Federation)


We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy. To complete the optimality conditions of Pontryagin's maximum principle, so called transversality conditions of different types are used in the literature. Here, instead of a transversality condition, an additional maximum condition is considered.


Pontryagin maximum principle, Transversality condition; Optimal control; Ramsey problem

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DOI: http://dx.doi.org/10.15826/umj.2019.1.003

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