Robustness measures for linear state space systems under complex and real parameter perturbations

  • D. Hinrichsen
  • A. J. Pritchard
Part of the Progress in Systems and Control Theory book series (PSCT, volume 2)


In this paper we study the effect of perturbations of a system matrix on its spectrum. We consider perturbations of the form AA + BDC where B, C are given matrices. Robustness measures with respect to the location of the spectrum of A (in arbitrary open domains ℂ g ⊂ ℂ) are introduced and characterized. Complex and real perturbations are considered separately. The results are used to analyse the stability of state space systems when subjected to time-varying, nonlinear and dynamic perturbations. Here we observe interesting differences between the complex and real cases.


Algebraic Riccati Equation Stability Radius Dual Norm State Space System Robustness Measure 
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© Springer Science+Business Media New York 1990

Authors and Affiliations

  • D. Hinrichsen
  • A. J. Pritchard

There are no affiliations available

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