Duong, Manh Hong and Tran, Minh Hoang (2017) Analysis of the mean squared derivative cost function. Mathematical Methods in the Applied Sciences, 40 (14). pp. 5222-5240. doi:10.1002/mma.4382

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Abstract

In this paper, we investigate the mean squared derivative cost functions that arise in various applications such as in motor control, biometrics and optimal transport theory. We provide qualitative properties, explicit analytical formulas and computational algorithms for the cost functions. We also perform numerical simulations to illustrate the analytical results. In addition, as a by-product of our analysis, we obtain an explicit formula for the inverse of a Wronskian matrix that is of independent interest in linear algebra and differential equations theory.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Engineering mathematics, Mathematics, Technology--Mathematical models
Journal or Publication Title:	Mathematical Methods in the Applied Sciences
Publisher:	John Wiley & Sons Ltd.
ISSN:	0170-4214
Official Date:	30 September 2017
Dates:	Date Event 30 September 2017 Published 10 April 2017 Available 23 February 2017 Accepted
Date of first compliant deposit:	2 March 2017
Volume:	40
Number:	14
Page Range:	pp. 5222-5240
DOI:	10.1002/mma.4382
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	European Research Council (ERC)
Grant number:	335120
Open Access Version:	ArXiv

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