具有时变时滞边界条件的双曲型系统的极值问题

2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR) Pub Date : 2022-08-22 DOI:10.1109/MMAR55195.2022.9874285

A. Kowalewski

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引用次数: 1

摘要

研究时变时滞双曲型系统的极值问题。求解了具有时变时滞的Neumann边界条件的双曲型系统的最优边界控制问题。时间范围是固定的。利用Dubovicki-Milutin格式，导出了具有二次性能泛函和约束控制的Neumann问题的最优性的充分必要条件。

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Extremal Problems for Hyperbolic Systems with Boundary Conditions Involving Time-Varying Delays

Extremal problems for time-varying delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems with the Neumann boundary conditions involving time-varying delays are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.

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来源期刊

2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR)

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