Feedback control in fractal mechanics

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.

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