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- Title
On the Regularized Solutions of Optimal Control Problem in a Hyperbolic System.
- Authors
Yeşim Saraç; Murat Subaş
- 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.
- Subjects
OPTIMAL control theory; HYPERBOLIC functions; EXISTENCE theorems; ITERATIVE methods (Mathematics); PROBLEM solving; NUMERICAL analysis
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/156541