Category:Sensitivity-seeking arcs

We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin <bibref>Srinivasan2003</bibref> as arcs which are neither bang-bang nor path-constrained and for which the optimal control can be determined by time derivatives of the Hamiltonian. For control-affine systems this implies so-called singular arcs.

A classical small-sized benchmark problem for a sensitivity-seeking (singular) arc is the Lotka Volterra fishing problem. The treatment of sensitivity-seeking arcs is very similar to the one of path-constrained arcs. As above, an approximation up to any a priori specified tolerance is possible, probably at the price of frequent switching.

References

<bibreferences/>