Finite rank, relatively bounded perturbations of semigroups generators. II: Spectrum and Riesz basis assignment with applications to feedback systems (Q1091586)
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scientific article; zbMATH DE number 4011265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite rank, relatively bounded perturbations of semigroups generators. II: Spectrum and Riesz basis assignment with applications to feedback systems |
scientific article; zbMATH DE number 4011265 |
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Finite rank, relatively bounded perturbations of semigroups generators. II: Spectrum and Riesz basis assignment with applications to feedback systems (English)
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1986
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This paper considers rank-one feedback perturbations of a spectral operator and considers the questions of well posedness of a Cauchy initial value problem, eigenvalue assignment and eigenvector assignment. These theoretical questions are motivated by boundary feedback control of parabolic and hyperbolic partial differential equations. [For part I see Ann. Sc. Norm. Super., Pisa, Cl. Sci., IV. Ser. 12, 641-668 (1985; Zbl 0602.47029)].
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rank-one feedback perturbations of a spectral operator
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well posedness of a Cauchy initial value problem
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eigenvector assignment
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boundary feedback control of parabolic and hyperbolic partial differential equations
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