A Novel Analysis of the Smooth Curve with Constant Width Based on a Time Delay System

Teng Fu and Yusheng Zhou
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Teng Fu: School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
Yusheng Zhou: School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China

Mathematics, 2021, vol. 9, issue 10, 1-7

Abstract: In this paper, we analyze the C ? smooth curve of constant width using the characteristic equation of a time delay system. We prove that a closed convex curve must be a circle if it is still a smooth curve of constant width after taking any number of derivatives. Finally, the simulation results are presented for analyzing the influence of derivative orders on a smooth non-circular curve of constant width.

Keywords: smooth curve of constant width; characteristic equation; time delay system; C ? smooth (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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