The Legendre transform and max-plus finite elements

Authors

Ben G. Fitzpatrick, Loyola Marymount UniversityFollow
Li Liu
Yun Wang

Document Type

Conference Proceeding

Publication Date

2011

Abstract

In this paper we discuss the use of the Legendre transform to construct a max-plus finite element approximation method. Max-plus arithmetic is becoming an important approach in nonlinear control, as the dynamic programming equation is max-plus linear for deterministic nonlinear control problems.

Comments

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Original Publication Citation

Fitzpatrick, Ben G., Li Liu, and Yun Wang. “The Legendre Transform and Max-plus Finite Elements.” In 2011 Chinese Control and Decision Conference (CCDC), 2088–92, 2011. https://doi.org/10.1109/CCDC.2011.5968548.

Digital Commons @ LMU & LLS Citation

Fitzpatrick, Ben G.; Liu, Li; and Wang, Yun, "The Legendre transform and max-plus finite elements" (2011). Mathematics, Statistics and Data Science Faculty Works. 195.
https://digitalcommons.lmu.edu/math_fac/195