Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5010542 | Systems & Control Letters | 2017 | 9 Pages |
Abstract
One of the important discoveries in control theory is a topological obstruction to continuous feedback stabilization for general nonlinear control systems. In this note we describe another topological obstruction arising from a very different control problem called the reach control problem. Motivated by a classical topological obstruction for extending continuous maps on spheres, we introduce the problem of extending continuous maps on simplices. It is shown that the same condition as in the sphere case gives rise to the obstruction.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Mireille E. Broucke, Melkior Ornik, Abdol-Reza Mansouri,