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Topic: Historical Perspective IX
Replies: 6   Last Post: May 4, 1998 6:59 AM

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Brian Hutchings

Posts: 635
Registered: 12/6/04
Re: Historical Perspective IX
Posted: Apr 30, 1998 5:21 PM
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In a previous article, (E. E. Escultura) says:

good one, EEE !!... is this the Ninth Historical perspective
upon the Next Theorem of Fermat?

>This enrichment methodlogy capped its achievement with the modern
>formulation of Calc. of Var. known as optimal control theory. The
>approach is the same: enlarge the space of conventional trajectories
>by introducing chattering or probabilistic control and appropriate
>metric and taking the closure of the conventional trajectories to
>obtain the enlarge space. This not only provides existence theory but
>also put the Pontrjagin maximum principle (which is a necessary
>condition) on sound foundations free from the Perron paradox.
>The comprehensive formulation is Young's book: Lect. on Calc. of Var.
>and Opt. Control Theory, W. B. Saunders, 1969. But this book stands on
>extensive work of others which we shall list down later.

[unannotated bibliography ommitted .-]

member, African Civil Rights Movement -- extirpate retrocolonialism!
(No **** is good ****; eh?...
<Brian Hutchings, Living Space Programs, Santa Monica College>

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