Homogeneity in control: Geometry and applications

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

This tutorial presentation surveys some history and the geometric foundations for the use of homogeneity in the analysis and design of control systems, from classical applications to active research. Reflecting on the success of linear systems theory in a nonlinear world, homogeneous systems may be considered the next step, providing a richer class of models but still amenable to explicit analysis and design. Linearity means additivity together with homogeneity. But much of the effectiveness and power persists when additivity is lost: even without a superposition principle, relying only on homogeneity, stability is still determined by the dynamics on a reduced space that is a nonlinear analogue of the union of eigenspaces. Homogeneity immediately ties global to local properties.

Original languageEnglish (US)
Title of host publication2015 European Control Conference, ECC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2449-2457
Number of pages9
ISBN (Electronic)9783952426937
DOIs
StatePublished - Nov 16 2015
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: Jul 15 2015Jul 17 2015

Publication series

Name2015 European Control Conference, ECC 2015

Other

OtherEuropean Control Conference, ECC 2015
CountryAustria
CityLinz
Period7/15/157/17/15

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Kawski, M. (2015). Homogeneity in control: Geometry and applications. In 2015 European Control Conference, ECC 2015 (pp. 2449-2457). [7330906] (2015 European Control Conference, ECC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2015.7330906