Pontryagine principle
General mechanical engineering - Dynamics: optimization

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A1669 V1 Article

Pontryagine principle
General mechanical engineering - Dynamics: optimization

Author : Jean-Pierre BROSSARD

Publication date: July 10, 1997 | Lire en français

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13. Pontryagine principle

Pontryagine's principle is known as the maximum or minimum principle. Here, we'll call it the minimum principle.

13.1 Nature of the problem

In the previous paragraph, constraints were given as equations. In many real-life problems, there are constraints in the form of inequations, particularly for the control variables uk (t ).

The problem is to make the (18) functional extreme, given constraints of the type (19):

J=∫x1x2F[yi,

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