Heiland, JanMehrmann, VolkerSchmidt, Michael2021-12-172021-12-172009-12-222197-8085https://depositonce.tu-berlin.de/handle/11303/15654http://dx.doi.org/10.14279/depositonce-14427We discuss the direct discretization of the input/output map of linear time-invariant systems with distributed inputs and outputs. At first, the input and output signals are discretized in space and time, resulting in a matrix representation of an approximated input/output map. Then the system dynamics is approximated, in order to calculate the matrix representation numerically. The discretization framework, corresponding error estimates, a SVD-based system reduction method and a numerical application in optimization problems are presented, and illustrated for a heat control and a flow control system.en510 Mathematikflow-controlOseen equationtokes equationinput/output mapdiscretizationdifferential-algebraic equationResearch Paper