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Maximum Principle in the Optimal Control Problems for Systems with Integral Boundary Conditions and Its Extension

Author

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  • A. R. Safari
  • M. F. Mekhtiyev
  • Y. A. Sharifov

Abstract

The optimal control problem with integral boundary condition is considered. The sufficient condition is established for existence and uniqueness of the solution for a class of integral boundary value problems for fixed admissible controls. First-order necessary condition for optimality is obtained in the traditional form of the maximum principle. The second-order variations of the functional are calculated. Using the variations of the controls, various optimality conditions of second order are obtained.

Suggested Citation

  • A. R. Safari & M. F. Mekhtiyev & Y. A. Sharifov, 2013. "Maximum Principle in the Optimal Control Problems for Systems with Integral Boundary Conditions and Its Extension," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:946910
    DOI: 10.1155/2013/946910
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