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Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions

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  • M. J. Mardanov
  • Y. A. Sharifov

Abstract

Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. First order increment formula for the functional is derived. Pontryagin’s maximum principle is proved by using the variations of admissible control.

Suggested Citation

  • M. J. Mardanov & Y. A. Sharifov, 2015. "Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-6, February.
    • Handle: RePEc:hin:jnlaaa:428042
    DOI: 10.1155/2015/428042
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