边界条件下出现积分时滞抛物-双曲型系统的边界控制

2011 16th International Conference on Methods & Models in Automation & Robotics Pub Date : 2011-09-29 DOI:10.1109/MMAR.2011.6031319

A. Kowalewski

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引用次数: 0

摘要

研究了一类具有积分时滞的Neumann边界条件的线性抛物-双曲型系统的最优边界控制问题。证明了该类抛物-双曲型系统存在唯一解的充分条件。给出了Neumann问题的最优性的充分必要条件。讨论了最优控制的确定问题。

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

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.

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2011 16th International Conference on Methods & Models in Automation & Robotics

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