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%0 Journal Article
%A Hélie, Thomas
%A Matignon, Denis
%A Mignot, Remi
%T Criterion design for optimizing low-cost approximations of infinite-dimensional systems: towards efficient real-time simulation
%D 2007
%B Int. Journal of Tomography and Statistics
%V 7
%P 13-18
%F Helie07a
%X Linear systems with irrational transfer functions are difficult to simulate in the time domain. We consider causal systems which can be represented with poles and cuts in some left half-plane of the Laplace domain. Whereas standard interpolation methods yield convergent but high-dimensional approximations, it is possible to derive efficient low-cost approximations thanks to optimization procedures. Defining the criterion (choice of weightening measure, regularization and contraints) is however of utmost importance: this must be carefully designed and driven by each application. Two examples will illustrate the methodology, and a third one will present an extension to a compound system with delays.
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