自由终时间最优控制问题的充分条件

1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes Pub Date : 1975-12-01 DOI:10.1109/CDC.1975.270643

P. Mereau, W. Powers

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引用次数: 5

摘要

在问题的定义中，利用函数间的不等式给出了全局最优性的一般充分条件。该条件是Leitmann和Stalford[6]得到的充分条件的推广，可以处理控制和/或状态有约束的问题，也可以处理最终时间自由的问题。对于最小时间和固定最终时间的特殊情况，得到了简化形式。给出了一些简单的例子，说明了该条件对具有多个极值解和/或奇异子弧的问题的适用性。

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Sufficient conditions for free final time optimal control problems

A general sufficient condition for global optimality in terms of inequalities between the functions involved in the definition of the problem is developed. This condition is an extension of the sufficient condition obtained by Leitmann and Stalford [6] and can handle problems with constraints on the control and/or the state as well as problems with free final time. Simplified forms are obtained for the particular cases of minimum time and fixed final time problems. Simple examples which illustrate the applicability of the condition to problems with several extremal solutions and/or singular subarcs are also presented.

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1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes

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