Original manuscript: 2005/02/25
Manuscript last revised: 2006/11/30
A simple three-state system with two inputs is considered. The system's controllability is determined using properties of vector-valued quadratic forms. The quadratic structure is then used as the basis for the design of a homogeneous, discontinuous, stabilising feedback controller. The paper should be seen as an attempt to relate controllability of a system from a point to stabilisability of the system to the same point.
Last Updated: Fri Jul 10 07:30:16 2020