Integrator backstepping using contraction theory: a brief technological note

Jerome Jouffroy, Jacques Lottin

Research output: Contribution to conference without publisher/journalPaperResearchpeer-review


While the use of Lyapunov function candidates for integrator backstepping has been extensively studied in the literature, little research has been conducted regarding the applicability of the so-called incremental stability approaches. This note addresses the problem of the use of an incremental approach, i.e. contraction theory, to the integrator backstepping design on the methodological aspect. After briefly recalling basic results from contraction theory, a full contraction-based integrator backstepping procedure is presented. An example is given to illustrate the method.
Original languageEnglish
Publication date2002
Publication statusPublished - 2002
Event IFAC World Congress - Barcelona, Spain
Duration: 24. Aug 2010 → …


Conference IFAC World Congress
Period24/08/2010 → …


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