Geodesic
Maximum Principle for an Optimal Control Problem with an Asymptotic Endpoint Constraint
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 2, pp. 35-48

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Under conditions characterizing the dominance of the discounting factor, a complete version of the Pontryagin maximum principle for an optimal control problem with infinite time horizon and a special asymptotic endpoint constraint is developed. Problems of this type arise in mathematical economics in the studies of growth models.
Keywords: optimal control, infinite horizon, Pontryagin maximum principle, asymptotic endpoint constraint, growth models, sustainable development. 
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S. M. Aseev. Maximum Principle for an Optimal Control Problem with an Asymptotic Endpoint Constraint. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 2, pp. 35-48. http://geodesic.mathdoc.fr/item/TIMM_2021_27_2_a2/