Title: An example with interesting controllability and stabilisation properties (9 pages)
Detail: 45th IEEE Conference on Decision and Control, San Diego, 2006/12/14

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.

No online version avaliable.

Andrew D. Lewis (andrew at mast.queensu.ca)