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On the Regularized Solutions of Optimal Control Problem in a Hyperbolic System

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  • Yeşim Saraç
  • Murat Subaşı

Abstract

We use the initial condition on the state variable of a hyperbolic problem as control function and formulate a control problem whose solution implies the minimization at the final time of the distance measured in a suitable norm between the solution of the problem and given targets. We prove the existence and the uniqueness of the optimal solution and establish the optimality condition. An iterative algorithm is constructed to compute the required optimal control as limit of a suitable subsequence of controls. An iterative procedure is implemented and used to numerically solve some test problems.

Suggested Citation

  • Yeşim Saraç & Murat Subaşı, 2012. "On the Regularized Solutions of Optimal Control Problem in a Hyperbolic System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:156541
    DOI: 10.1155/2012/156541
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    References listed on IDEAS

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    1. J. D. Benamou, 1999. "Domain Decomposition, Optimal Control of Systems Governed by Partial Differential Equations, and Synthesis of Feedback Laws," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 15-36, July.
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