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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 1.6

Model reduction of delay systems

Jonathan R. Partington

School of Mathematics

University of Leeds

Leeds, LS2 9JT

U.K.

J.R.Partington@leeds.ac.uk

1 DESCRIPTION OF THE PROBLEM

Our concern here is with stable single input single output delay systems, and we shall restrict to the case when the system has a transfer function of the form 18512, with T > 0 and R rational, stable, and strictly proper, thus bounded and analytic on the right half plane 18517. It is a fundamental problem in robust control design to approximate such systems by finite-dimensional ...

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