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Higher-Order Nonlinear Contraction Analysis | | Winfried Lohmiller
; Jean-Jacques E. Slotine
; | | Date: |
13 Oct 2005 | | Subject: | Pattern Formation and Solitons | | Abstract: | 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. | | Source: | arXiv, nlin/0510025 | | Other source: | [GID 462544] nlin.PS/0510025 | | Services: | Forum | Review | PDF | Favorites | |
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