Some ancestors of contraction analysis

J. Jouffroy

Research output: Chapter in Book/Report/Conference proceedingConference contribution to proceedingResearchpeer-review


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 publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Publication date2005
Publication statusPublished - 2005
Externally publishedYes


  • technology, engineering and IT

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