经典变分法与最优控制在不连续轨迹问题上的推广

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) Pub Date : 2012-12-01 DOI:10.1109/CDC.2012.6426145

A. Arutyunov, D. Karamzin, F. Pereira

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引用次数: 4

摘要

在本文中，我们将经典变分学和最优控制问题适当地推广到不连续轨迹的情况。在此基础上，引入了相应的脉冲控制问题。在Filippov型假设下证明了存在性定理。

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On the extension of classical calculus of variations and optimal control to problems with discontinuous trajectories

In this article, we present a proper extension of the problems of classical calculus of variations and of optimal control to the case of discontinuous trajectories. An appropriate impulsive control problem is introduced as a result of such extension. Existence theorems are proved under assumptions of the Filippov type.

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2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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