Pontryagin Maximum Principle - a generalization

Details Pontryagin Maximum Principle - a generalization Pontryagin Maximum Principle - a generalization

2009-05-17

arxiv.org/abs/0905.2767v2

Mathematics

Optimization and Control

64 pages, a revised and extended version of an article from SIAM Journal on Control and Optimization, 49(3) pp. 1306-1357

Scientific paper

The fundamental theorem of the theory of optimal control, the Pontryagin maximum principle (PMP), is extended to the setting of almost Lie (AL) algebroids, geometrical objects generalizing Lie algebroids. This formulation of the PMP yields, in particular, a scheme comprising reductions of optimal control problems similar to the reduction for the rigid body in analytical mechanics. On the other hand, in the presented approach the reduced and unreduced PMPs are parts of the same universal formalism. The framework is based on a very general concept of homotopy of measurable paths and the geometry of AL algebroids.

Affiliated with

Also associated with

No associations

Rating

Pontryagin Maximum Principle - a generalization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pontryagin Maximum Principle - a generalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pontryagin Maximum Principle - a generalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-608932