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Modeling strategies often result in dynamical systems of very high dimension. It is then desirable to find systems of the same form but of lower complexity, whose input-output behavior approximates the behavior of the original system. Here we consider linear time invariant (LTI) discrete time dynamical systems. The cornerstone of this paper is a relation(More)
This paper deals with H 2-norm optimal model reduction for linear time invariant continuous MIMO systems. We will give an overview on several representations of linear systems in state space as well as in Laplace space and discuss the H 2-norm for continuous MIMO systems with multiple poles. On this basis, necessary optimality conditions for the H 2-norm(More)
In this paper the equivalences between necessary optimality conditions for H2norm optimal model reduction for linear time invariant continuous MIMO systems will be proven. Initially three main optimality conditions, namely the Interpolation conditions, Wilson conditions and Hyland-Bernstein conditions, were introduced. While the equivalence proof between(More)
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