Some ancestors of contraction analysis

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Abstract

Contraction analysis is a recent tool for analyzing the convergence behavior of nonlinear systems in state-space form (see Lohmiller and Slotine [16] for the main reference). However, it seems that earlier results derived by mathematicians in the 1950s closely match some of the results of contraction analysis. In this paper, we review and place into perspective some references of this era, and relate them with contraction.
Original languageEnglish
Title of host publication44th IEEE Conference on Decision and Control
Number of pages5455
PublisherIEEE
Publication date2005
Pages5450
ISBN (Print)0-7803-9567-0
Publication statusPublished - 2005
EventIEEE Conference on Decision and Control (CDC) - Sevilla, Spain
Duration: 12. Dec 200515. Dec 2005
Conference number: 44

Conference

ConferenceIEEE Conference on Decision and Control (CDC)
Number44
Country/TerritorySpain
CitySevilla
Period12/12/200515/12/2005

Keywords

  • Control
  • contraction analysis
  • Nonlinear Dynamics

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