Feedback control in fractal mechanics

Yongping Zhang, Shutang Liu and Weihua Sun

Chaos, Solitons & Fractals, 2009, vol. 40, issue 1, 337-343

Abstract: It is an important application of fractal to introduce the fractal Hausdorff integration to mechanical theory using the self-similarity of fractal. In this paper, we realize the control of the self-similarity of fractal by use of the product auxiliary reference feedback control method. Especially, for the self-similar set – Julia set of the exponential function, we can control its size, position and other aspects through this method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:1:p:337-343

DOI: 10.1016/j.chaos.2007.07.063

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