Geodesic
Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 3, pp. 41-57

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The paper deals with first order necessary optimality conditions for a class of infinite-horizon optimal control problems that arise in economic applications. Neither convergence of the integral utility functional nor local boundedness of the optimal control is assumed. Using the classical needle variations technique we develop a normal form version of the Pontryagin maximum principle with an explicitly specified adjoint variable under weak regularity assumptions. The result generalizes some previous results in this direction. An illustrative economical example is presented.
Keywords: infinite horizon, Pontryagin maximum principle, transversality conditions, weak regularity assumptions. 
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S. M. Aseev; V. M. Veliov. Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 3, pp. 41-57. http://geodesic.mathdoc.fr/item/TIMM_2014_20_3_a2/