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A Fast Algorithm to Compute the Real Structured Stability Radius

  • J. Sreedhar
  • Paul Van Dooren
  • André L. Tits
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 121)

Abstract

We describe a fast algorithm to compute the real structured stability radius with respect to the open left-half plane or the open unit disk. It is based on a recent formula proved by Qiu et al. (Automatica, vol. 31, pp. 879–890, 1995) and the well-known correspondence between the singular values of a transfer function matrix and the imaginary eigenvalues of a related Hamiltonian matrix. Numerical tests suggest that its local convergence is quadratic.

Keywords

Fast Algorithm Open Unit Disk Imaginary Eigenvalue Stability Radius Transfer Function Matrix 
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

© Birkhäuser Verlag Basel 1996

Authors and Affiliations

  • J. Sreedhar
    • 1
  • Paul Van Dooren
    • 2
  • André L. Tits
    • 3
  1. 1.Department of Electrical & Computer Engineering and the Coordinated Science LaboratoryUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Université Catholique de LouvainLouvain-la-NeuveBelgium
  3. 3.Department of Electrical Engineering and Institute for Systems ResearchUniversity of Maryland at College ParkCollege ParkUSA

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