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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968548
