First-order strong variation algorithm for optimal control problems involving hyperbolic systems
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This paper considers an optimal control problem involving linear, hyperbolic partial differential equations. A first-order strong variational technique is used to obtain an algorithm for solving the optimal control problem iteratively. It is shown that the accumulation points of the sequence of controls generated by the algorithm (if they exist) satisfy a necessary condition for optimality.
Key WordsHyperbolic partial differential equations Darboux-type boundary conditions state equations of the Dieudonné-Rashevsky type optimal control problems necessary conditions strong variation techniques convergence of algorithms
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