Pontryagine principle
General mechanical engineering - Dynamics: optimization
Article REF: A1669 V1
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 u k (t ).

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

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