Title: Linearisation of tautological control systems (44 pages)
Author(s): Andrew D. Lewis
Detail: Journal of Geometric Mechanics, 8(1), pages 99-138, 2016
Journal version: Download

Original manuscript: 2014/02/04
Manuscript last revised: 2016/02/18

The framework of tautological control systems is one where "control" in the usual sense has been eliminated, with the intention of overcoming the issue of feedback-invariance. Here, the linearisation of tautological control systems is described. This linearisation retains the feedback-invariant character of the tautological control system framework and so permits, for example, a well-defined notion of linearisation of a system about an equilibrium point, something which has surprisingly been missing up to now. The linearisations described are of systems, first, and then about reference trajectories and reference flows.

574K pdf
Last Updated: Fri Jul 10 07:51:55 2020

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