Real and Complex Stability Radii: A Survey

  • D. Hinrichsen
  • A. J. Pritchard
Part of the Progress in Systems and Control Theory book series (PSCT, volume 6)


In [14], [15] we introduced complex and real stability radii as robustness measures for stable matrices A under complex and real perturbations of the form AA + DΔE where D, E are given and Δ is unknown. In this paper we give a survey of the results obtained so far. Although our main reference will be to continuous-time systems we will also present some results for the discrete-time case.


Riccati Equation Algebraic Riccati Equation Matrix Pencil Stability Radius Liapunov Function 
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

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • D. Hinrichsen
    • 1
  • A. J. Pritchard
    • 2
  1. 1.Institut für Dynamische SystemeUniversität BremenBremen 33Germany
  2. 2.Control Theory CentreUniversity of WarwickCoventryUK

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