Some ancestors of contraction analysis

J. Jouffroy

doi:10.1109/CDC.2005.1583029

Some ancestors of contraction analysis

J. Jouffroy

Norwegian University of Science and Technology

Publikation: Bidrag til bog/antologi/rapport › Konferenceartikel i proceeding › peer review

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.

Originalsprog	Engelsk
Titel	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Publikationsdato	2005
DOI	https://doi.org/10.1109/CDC.2005.1583029
Status	Udgivet - 2005
Udgivet eksternt	Ja

Emneord

Teknik, ingeniørvidenskab og IT
Contraction analysis
Historical perspective
Mathematics
Stability theory

Adgang til dokumentet

10.1109/CDC.2005.1583029

Andre filer og links

https://www.scopus.com/pages/publications/33847223052

Citationsformater

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AB - 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.

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KW - Historical perspective

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KW - Stability theory

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DO - 10.1109/CDC.2005.1583029

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BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

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