1. Analysis of the mean squared derivative cost function
- Author
-
Duong, MH and Tran, HM
- Subjects
variational principle ,Science & Technology ,Applied Mathematics ,mean squared derivative cost functions ,KRAMERS EQUATION ,Mathematics, Applied ,PRINCIPLES ,0102 Applied Mathematics ,Physical Sciences ,FOKKER-PLANCK EQUATION ,Wronskian matrix ,OPTIMAL TRANSPORT ,Mathematics ,ARM MOVEMENTS - 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.
- Published
- 2017