Higher-Order Nonlinear Contraction Analysis

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dc.creatorLohmiller, Winfried
dc.creatorSlotine, Jean-Jacques E.
dc.date2005-10-13
dc.date.accessioned2026-07-07T06:48:12Z
dc.date.available2026-07-07T06:48:12Z
dc.descriptionNonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability problem. Contraction analysis relies on finding a suitable metric to study a generally nonlinear and time-varying system. This paper shows that the computation of the metric may be largely simplified or indeed avoided altogether by extending the exact differential analysis to the higher-order dynamics of the nonlinear system. Simple applications in economics, classical mechanics, and process control are described.
dc.description25 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/nlin/0510025
dc.identifierhttp://arxiv.org/abs/nlin/0510025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103906
dc.subjectPattern Formation and Solitons
dc.titleHigher-Order Nonlinear Contraction Analysis
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