Internal Layer Solution of Singularly Perturbed Optimal Control Problem with Integral Boundary Condition

• Wu, Limeng ^[1] ; Ni, Mingkang ^[2] ; Lu, Haibo ^[3]
  1. [1] Hebei Normal University of Science and Technology

     Hebei Normal University of Science and Technology

     China

     
  2. [2] East China Normal University

     East China Normal University

     China

     
  3. [3] Shanghai Institute of Technology

     Shanghai Institute of Technology

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 1, 2018, págs. 49-66
• Idioma: inglés
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• Resumen

  • In this paper, we investigate a class of singularly perturbed optimal control problem with integral boundary condition. By means of k+σ exchange lemma, the existence of internal layer solution for the optimal control problem is proved. Meanwhile, the uniformly valid asymptotic solution is constructed by the boundary function method. Finally, an example is given for illustrating the main result.