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A Novel Analysis of the Smooth Curve with Constant Width Based on a Time Delay System
- Source :
- Mathematics, Vol 9, Iss 10, p 1131 (2021)
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
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.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 10
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5fac358ce7524bfbb6b6b76bb7a6df75
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math9101131