Title: An example with interesting controllability and stabilisation properties (11 pages)
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of the 45th IEEE Conference on Decision and Control, December 2006, pages 3748-3753
Conference proceedings version: Download

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.

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Last Updated: Fri Jul 10 07:30:16 2020

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