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IMA Journal of Mathematical Control and Information 1985 2(1):37-48; doi:10.1093/imamci/2.1.37
© 1985 by Institute of Mathematics and its Applications
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Observers for Systems with Discrete and Distributed Delays

E. NOLDUS

Automatic Control Laboratory, University of Ghent Grotesteenweg Noord 2, B-9710 Gent-Zwipzaarde, Belgium

An observer theory for linear systems containing discrete and distributed delays in its state- and output equations is presented. In particular, existence criteria for observers with finite-dimensional error dynamics are derived. The stabilizability and eigenvalue assignability of the observation error dynamics are expressed in terms of the invariant zeros of a matrix function P(s), depending on the discrete delay parameters and the parameters of a Gram-Schmidt expansion of the distributed delay terms.


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