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Applications of the Schur Algorithm to Mixed H2 and H∞ Nehari Problems

✍ Scribed by A.E. Frazho; S.M. Kherat

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 692 KB
Volume: 178
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1320

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we will use the Schur algorithm to compute a solution to the Kaftal-Larson-Weiss mixed (H^{2}-H^{\infty}) problem in the Nehari setting. First we will use the Schur algorithm to solve a mixed (H^{2}-H^{\infty}) Carathéodory interpolation problem. By passing limits, we will then obtain an explicit formula in terms of Hankel matrices to solve the rational (H^{2}-H^{\infty}) Nehari problem. Explicit solutions in terms of minimal state space realization will be given. 1993 Academic Press, Inc.

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