Difference between revisions of "Category:Path-constrained arcs"

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Revision as of 13:26, 20 November 2010

Whenever a path constraint is active, i.e., it holds c_i(x(t)) = 0 \; \forall \; t \in [t^\text{start}, t^\text{end}] \subseteq [0, t_f], and no continuous control u(\cdot) can be determined to compensate for the changes in x(\cdot), naturally \alpha(\cdot) needs to do so by taking values in the interior of its feasible domain. An illustrating example has been given in <bibref>Sager2009</bibref>, where velocity limitations for the energy-optimal operation of New York subway trains are taken into account. The optimal integer solution does only exist in the limit case of infinite switching (Zeno behavior), or when a tolerance is given.

References

<bibreferences/>