论文标题

关于线性分布式时间延迟的最佳控制的技术评论

Technical comments on the optimal control for linear distributed time-delay

论文作者

Ortega, Jorge, Santos, Omar, Rodríguez, Liliam, Mondié, Sabine

论文摘要

提出了针对线性分布式时间延迟系统的无限视野最佳控制问题的解决方案。该提案基于将Cauchy解决方案用于分布式时间延迟系统的使用。与先前的结果(对于守时时间延迟系统)相反,功能及其属性的形式正式合理。证明了一个重要的特性:Bellman的功能允许上限和下限,因此被证明是积极的。此外,还提供了一些有关温度过程的实验结果。

The solution to the infinite horizon optimal control problem for linear distributed time-delay systems is presented. The proposal is based on the use of the Cauchy solution for distributed time-delay systems. In contrast with previous results (for punctual time delay systems), the form of the functional and its properties are formally justified. An important property is demonstrated: the Bellman functional admits upper and lower bounds, thus it is proved to be positive definite. Additionally, some experimental results on a temperature process are presented.

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