Stability and stabilizability of linear control systems on Hilbert space via operator dilation theory

  • N. Levan
  • L. Rigby
Optimal Control Of Partial Differential Equations
First Online:
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 6)

Abstract

We study in this work the stability and stabilizability problem of linear control systems on Hilbert space, using the so called Dilation Theory of Hilbert space operators.

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References

  1. [1]
    B. Sz-Nagy & C. Foias, Harmonic Analysis of Operators on Hilbert Space, American Elsevier, New York, 1970.Google Scholar
  2. [2]
    W.M. Wonham, On Pole Assignement in Multi-Input Controllable Linear Systems, IEEE Trans. Automat. Contr., Vol. AC-12 (1967), pp 660–665.Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • N. Levan
    • 1
  • L. Rigby
    • 2
  1. 1.Department of System ScienceUniversity of CaliforniaLos AngelesUSA
  2. 2.Department of Computing & ControlImperial CollegeLondonUK

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