The Mayer term is the contribution to a variational or optimal control cost that depends only on the endpoint times and states. In the
Bolza problem for a curve 
on ![[t_0,t_1]](/images/equations/MayerTerm/Inline2.svg)
,
the Mayer term is 
, which
is added to the integral of the Lagrangian
function. In Mayer form, the endpoint contribution
is the entire cost (Liberzon 2012, pp. 86-87).
Mayer Term
See also
Bolza Problem, Lagrangian Function, Mayer FormExplore with Wolfram|Alpha
References
Liberzon, D. "Cost Functional." §3.3.2 in Calculus of Variations and Optimal Control Theory: A Concise Introduction. Princeton, NJ: Princeton University Press, 2012. https://liberzon.csl.illinois.edu/teaching/cvoc/node52.html.Cite this as:
Weisstein, Eric W. "Mayer Term." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MayerTerm.html