https://mintoc.de/index.php?action=history&feed=atom&title=Category%3AMinimum_energyCategory:Minimum energy - Revision history2026-06-09T10:28:39ZRevision history for this page on the wikiMediaWiki 1.43.1https://mintoc.de/index.php?title=Category:Minimum_energy&diff=598&oldid=prevSebastianSager: Initial setup of IMA paper text2010-11-20T11:49:03Z<p>Initial setup of IMA paper text</p>
<p><b>New page</b></p><div>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.,<br />
<br />
<center><math><br />
\Phi[\cdot] = \int_{t_0}^{t_f} u^2 \; \mathrm{d} t.<br />
</math> </center><br />
<br />
Almost always an upper bound on the free end time <math>t_f</math> needs to be specified.<br />
<br />
[[Category:Objective characterization]]</div>SebastianSager