Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions

Article

Abstract

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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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of the Russian Academy of SciencesMoscowRussia
  2. 2.Institute of Statistics and Mathematical Methods in EconomicsViennaAustria
  3. 3.International Institute for Applied Systems AnalysisLaxenburgAustria

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