Analysis of the mean squared derivative cost function |
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| Authors: | Manh Hong Duong Hoang Minh Tran |
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| Institution: | 1. Mathematics Institutes, University of Warwick, Coventry CV4 7AL, UK;2. Department of Industrial and Systems Engineering, Texas A&M University, College Station, USA;3. School of Applied Mathematics and Informatics, Hanoi University of Science & Technology, Hanoi, Vietnam |
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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. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | mean squared derivative cost functions variational principle Wronskian matrix |
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