On structured perturbations for two classes of linear infinite-dimensional systems |
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| Authors: | Z Emirsajlow A J Pritchard S Townley |
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| Affiliation: | (1) Institute of Control Engineering, Technical University of Szczecin, 70-313 Szczecin, Poland;(2) Control Theory Centre, University of Warwick, CV4 7AL Coventry, UK;(3) Department of Mathematics, University of Exeter, EX4 4QE Exeter, UK |
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| Abstract: | This paper considers two classes of infinite-dimensional systems described by an abstract differential equationx (t) = (A + B C)x(t),x(0) =x
0, on a Hilbert space, whereA, B, C are linear, possibly unbounded operators and 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 the perturbed system (A + EF, B, C) inherits all the properties of the unperturbed system {A, B, C}) if (A, E, F) and {A, B, F} are in the same class. |
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