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Boundary control of parabolic-hyperbolic systems with integral time delays appearing in the boundary conditions

机译:边界条件下具有积分时滞的抛物-双曲系统的边界控制

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Optimal boundary control problems for linear parabolic-hyperbolic systems with the Neumann boundary conditions involving integral time delays are considered. Sufficient conditions for the existence of a unique solution for such parabolic-hyperbolic systems are proved. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The problem of determining of the optimal control is discussed.
机译:考虑带有积分时滞的诺伊曼边界条件的线性抛物-双曲系统的最优边界控制问题。证明了此类抛物线-双曲线系统唯一解的存在的充分条件。得出了诺伊曼问题的最优性的充要条件。讨论了确定最优控制的问题。

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