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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)

Abstract

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.

Keywords

Algebraic Riccati Equation Stability Radius Dual Norm State Space System Robustness Measure 
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
  • A. J. Pritchard

There are no affiliations available

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