On curvature and feedback classification of two-dimensional optimal control systems

Details On curvature and feedback classification of two-dimensional optimal control systems On curvature and feedback classification of two-dimensional optimal control systems

2005-06-23

arxiv.org/abs/math/0506479v1

Mathematics

Optimization and Control

7 pages

Scientific paper

The goal of this paper is to extend to two-dimensional optimal control systems with scalar input the classical notion of Gaussian curvature of two-dimensional Riemannian surface using the Cartan's moving frame method. This notion was already introduced by A. A. Agrachev and R. V. Gamkrelidze for more general control systems using a purely variational approach. Then we will see that the ``control'' analogue to Gaussian curvature reflects similar intrinsic properties of the extremal flow. In particular if the curvature is negative, arbitrarily long segment of extremals are locally optimal. Finally, we will define and characterize flat control systems.

Affiliated with

Also associated with

No associations

Rating

On curvature and feedback classification of two-dimensional optimal control systems 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 On curvature and feedback classification of two-dimensional optimal control systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On curvature and feedback classification of two-dimensional optimal control systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624456