DocumentCode
2517760
Title
The Legendre transform and max-plus finite elements
Author
Fitzpatrick, Ben G. ; Liu, Li ; Wang, Yun
Author_Institution
Tempest Technol., Los Angeles, CA, USA
fYear
2011
fDate
23-25 May 2011
Firstpage
2088
Lastpage
2092
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.
Keywords
arithmetic; dynamic programming; finite element analysis; linear systems; nonlinear control systems; transforms; FEA; Legendre transform; deterministic nonlinear control problems; dynamic programming equation; linear control problems; max-plus arithmetic; max-plus finite element approximation method; Additives; Approximation methods; Dynamic programming; Equations; Finite element methods; Optimal control; Transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location
Mianyang
Print_ISBN
978-1-4244-8737-0
Type
conf
DOI
10.1109/CCDC.2011.5968548
Filename
5968548
Link To Document