Abstract A boundary control problem is studied for a model loaded equation of the hyperbolic type. Necessary and sufficient conditions on the initial and terminal functions ensuring the existence of boundary controls are established. Under these conditions, an explicit analytical form of the desired controls is found.

中文翻译：

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加载弦振动方程的边界控制问题

摘要 研究了双曲型模型加载方程的边界控制问题。建立了确保边界控制存在的初始和终端功能的必要和充分条件。在这些条件下，可以找到所需控制的明确分析形式。