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 Hβ-control problem for inΓΏnite-dimensional time-varying systems and give necessary and su cient conditions for the existence of a suboptimal controller by th
Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations
β Scribed by Ming-Chu Gao; Jin-Chuan Hou
- Book ID
- 104301281
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 124 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-6911
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β¦ Synopsis
For an inΓΏnite-dimensional continuous (or discrete)-time linear system, based on the study of the representation of nonnegative solutions of the algebraic Riccati equation (ARE), we get some su cient and necessary conditions for a nonnegative solution of (ARE) to be isolated in the set of all nonnegative solution of (ARE) with respect to the norm topology, the strong operator topology and weak operator topology, respectively.
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