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Dynamics and Control

, Volume 6, Issue 3, pp 227–261 | Cite as

On structured perturbations for two classes of linear infinite-dimensional systems

  • Z. Emirsajlow
  • A. J. Pritchard
  • S. Townley
Article

Abstract

This paper considers two classes of infinite-dimensional systems described by an abstract differential equationx (t) = (A + BΔC)x(t),x(0) =x0, on a Hilbert space, whereA, B, C are linear, possibly unbounded operators and Δ 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 Δ the perturbed system (A + EΔF, 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.

Keywords

Hilbert Space Unbounded Operator Unperturbed System Bounded Perturbation Structure Perturbation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Z. Emirsajlow
    • 1
  • A. J. Pritchard
    • 2
  • S. Townley
    • 3
  1. 1.Institute of Control EngineeringTechnical University of SzczecinSzczecinPoland
  2. 2.Control Theory CentreUniversity of WarwickCoventryUK
  3. 3.Department of MathematicsUniversity of ExeterExeterUK

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