View source for Category:Minimum energy

This is a category with all control problems that seek for energy-optimal solutions, e.g., reaching a certain goal or completing a certain process with a minimum amount of energy. The objective function is of Lagrange type and sometimes proportional to a minimization of the squared control (e.g., acceleration) <math>u(\cdot)</math>, e.g.,

<center><math>
\Phi[\cdot] =  \int_{t_0}^{t_f} u^2 \; \mathrm{d} t.
</math> </center>

Almost always an upper bound on the free end time <math>t_f</math> needs to be specified.

[[Category:Objective characterization]]