The articles contained during this quantity are concerning displays on the inter- tional convention on optimum keep watch over of Coupled structures of Partial Di?erential Equations, held on the Mathematisches Forschungsinstitut Oberwolfach from March, 2 to eight, 2008. The contributions through across the world recognized scientists within the ?eld of utilized arithmetic disguise numerous subject matters as controllability, feedba- keep watch over, optimalitysystems, model-reductiontechniques, analysisandoptimalc- trol of ?ow difficulties and ?uid-structure interactions, in addition to difficulties of form and topology optimization. The purposes thought of diversity from the optimi- tion and keep watch over of quantum mechanical structures, the optimum layout of airfoils, optimum keep an eye on of crystal progress, the optimization of form and topology in en- neering to switching or hybrid platforms. The purposes are therefore throughout all time and size scales, and variety from tender to non-smooth types. The ?eld of optimization and keep an eye on of platforms ruled by way of partial d- ferential equations and variational inequalities is a truly energetic region of analysis in utilized arithmetic and particularly in numerical research, scienti?c c- puting and optimization with a starting to be effect on engineering purposes. In go back, the ?eld bene?ts from attention-grabbing and difficult purposes in that new mathematical usually multiscale-modeling and new numerical instruments in addition to novel optimization effects and corresponding iterative options arerequired so one can deal with those difficulties. specifically, it turns into amply transparent that constraints need to be taken into consideration, either at the keep an eye on- and design-variables in addition to at the kingdom variablesandthe domain names oftheir governingmodels."