Analysis of the mean squared derivative cost function

Manh Hong Duong, Hoang Minh Tran

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)5222-5240
Number of pages19
JournalMathematical Methods in the Applied Sciences
Issue number14
Early online date10 Apr 2017
Publication statusPublished - 30 Sept 2017


  • Mean squared derivative cost functions
  • Variational principle
  • Wronskian matrix


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