Title: Tautological control systems (12 pages)
Author(s): Andrew D. Lewis
Detail: Proceedings of the 53rd IEEE Conference on Decision and Control, December 2014, pages 4832-4837
Conference proceedings version: Download

Original manuscript: 2014/02/01
Manuscript last revised: 2014/03/19

This paper addresses the problem of feedback invariance in geometric control theory by overviewing a framework that is inherently feedback-invariant. Crucial to the coherence of the method are suitable topologies on spaces of vector fields. The formulation also makes reference to the theory of presheaves and sheaves. While the work is addressed squarely at a fundamental problem of control theory, the technical background for the methods expounded upon are sometimes very complex. For this reason, the intent of the paper is to be expository, rather than technical.

This is a brief expository version of the larger paper.

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Last Updated: Fri Oct 27 09:08:04 2017

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