Abstract
We 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 optimal flow control are presented.
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Heiland, J., Mehrmann, V., Schmidt, M. (2010). A New Discretization Framework for Input/Output Maps and Its Application to Flow Control. In: King, R. (eds) Active Flow Control II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11735-0_23
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DOI: https://doi.org/10.1007/978-3-642-11735-0_23
Publisher Name: Springer, Berlin, Heidelberg
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