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16 - Constrained Model Reduction

from Part II - Further Contributions to Matrix Theory

Published online by Cambridge University Press:  24 October 2024

Patrick Dewilde ,
Klaus Diepold  and
Alle-Jan Van der Veen
Patrick Dewilde
Affiliation:
Technische Universität München
Klaus Diepold
Affiliation:
Technische Universität München
Alle-Jan Van der Veen
Affiliation:
Technische Universiteit Delft, The Netherlands
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Summary

This chapter provides for a further extension of constrained interpolation that is capable of solving the constrained model reduction problem, namely the generalization of Schur–Takagi-type interpolation to the time-variant setting. This remarkable result demonstrates the full power of time-variant system theory as developed in this book.

Keywords

model reductionmatrix Schur TakagiAAK theoryNehari completion
Type
Chapter
Information
Time-Variant and Quasi-separable Systems
Matrix Theory, Recursions and Computations
 , pp. 254 - 276
Publisher: Cambridge University Press
Print publication year: 2024

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