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
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TJ Mechanical engineering and machinery
Journal or Publication Title:	DYNAMICS AND CONTROL
Publisher:	KLUWER ACADEMIC PUBL
ISSN:	0925-4668
Date:	July 1996
Volume:	6
Number:	3
Number of Pages:	35
Page Range:	pp. 227-261
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/18579

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