Difference between revisions of "Category:Sensitivity-seeking arcs"
m (Initial setup of IMA paper text) |
JonasSchulze (Talk | contribs) m (Text replacement - "\<bibref\>(.*)\<\/bibref\>" to "<bib id="$1" />") |
||
| Line 1: | Line 1: | ||
| − | We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin < | + | We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin <bib id="Srinivasan2003" /> as arcs which are neither [[:Category:Bang bang|bang-bang]] nor [[:Category:Path-constrained arcs | 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. | 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. | ||
Revision as of 19:54, 20 January 2016
We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin [Srinivasan2003]Author: Srinivasan, B.; Palanki, S.; Bonvin, D.
Journal: Computers \& Chemical Engineering
Pages: 1--26
Title: Dynamic Optimization of Batch Processes: I. Characterization of the Nominal Solution
Volume: 27
Year: 2003
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/>
Pages in category "Sensitivity-seeking arcs"
The following 16 pages are in this category, out of 16 total.
