Reach Control on Simplices by Continuous State Feedback

This paper studies a theoretical problem of whether continuous state feedback and affine feedback are equivalent from the point of view of making an affine system defined on a simplex reach a prespecified facet in finite time. We show that the two classes of feedbacks are equivalent. As a byproduct, new necessary and sufficient conditions for solvability based more directly on the problem data are obtained.

• Type: Journal
• Year: 2010
• Where: SIAMCO
• Authors: Mireille E. Broucke
• Keywords: Continuous State Feedback, SIAMCO 2010, Simplex Reach, Theoretical Problem