Higher-Order Nonlinear Contraction Analysis

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Nonlinear 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.
25 pages, 10 figures

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/103906

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0510025
 http://arxiv.org/abs/nlin/0510025

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arXiv