“Pontryagin Maximum Principle”的概念、定义、习题解题方法及翻译-数学辞典

单词

Pontryagin Maximum Principle

释义

Pontryagin Maximum Principle

A result is Control Theory. Define

Then in order for a control

and a trajectory

to be optimal, it is Necessary that there existNonzero absolutely continuous vector function

corresponding tothe functions

and

such that

1. The function

attains its maximum at the point

almost everywhere in the interval

2. At the terminal time

, the relations

and

aresatisfied.

References

Iyanaga, S. and Kawada, Y. (Eds.). ``Pontrjagin's [sic] Maximum Principle.'' §88C in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 295-296, 1980.

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