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Product of nonnegative operators and infinite-dimensional H∞ Riccati equations

✍ Scribed by Akira Ichikawa

Book ID: 104300286
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 103 KB
Volume: 41
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(00)00055-4

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✦ Synopsis

In this paper we collect some useful properties of the product of nonnegative operators in a Hilbert space. We then apply them to the standard H∞-control problem for inÿnite-dimensional time-varying systems and give necessary and su cient conditions for the existence of a suboptimal controller by three conditions involving two independent Riccati equations with a coupling inequality.

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