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On structured perturbations for two classes of linear infinite-dimensional systems
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UNSPECIFIED (1996) On structured perturbations for two classes of linear infinite-dimensional systems. DYNAMICS AND CONTROL, 6 (3). pp. 227-261. ISSN 0925-4668.
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Abstract
This paper considers two classes of infinite-dimensional systems described by an abstract differential equation x overdot(t) = (A + B Delta C)x(t), x(0) = x(0), on a Hilbert space, where A, B, C are linear, possibly unbounded operators and Delta is an unknown, linear, bounded perturbation. The two classes of systems are defined in terms of properties imposed on the triple {A, B, C}. It is proved that for every Delta the perturbed system {A + E Delta F, B, C} inherits all the properties of the unperturbed system {A, B, C} if {A, E, F} and {A, B, C} are in the same class.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TJ Mechanical engineering and machinery |
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Journal or Publication Title: | DYNAMICS AND CONTROL | ||||
Publisher: | KLUWER ACADEMIC PUBL | ||||
ISSN: | 0925-4668 | ||||
Official Date: | July 1996 | ||||
Dates: |
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Volume: | 6 | ||||
Number: | 3 | ||||
Number of Pages: | 35 | ||||
Page Range: | pp. 227-261 | ||||
Publication Status: | Published |
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