TY - JOUR
A2 - Covachev, Valery
AU - Saraç, Yeşim
AU - Subaşı, Murat
PY - 2012
DA - 2012/07/29
TI - On the Regularized Solutions of Optimal Control Problem in a Hyperbolic System
SP - 156541
VL - 2012
AB - 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.
SN - 1085-3375
UR - https://doi.org/10.1155/2012/156541
DO - 10.1155/2012/156541
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -