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Stability radii of infinite-dimensional positive systems

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Abstract

We show that for infinite-dimensional discrete-time positive systems the complex and real stability radii coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of differential-difference equations.

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Authors and Affiliations

  1. Institute for Dynamical Systems, University of Bremen, P.O. Box 330 440, D-28334, Bremen, Germany

    Andreas Fischer

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  1. Andreas Fischer
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The author would like to thank the “Deutsche Forschungsgemeinschaft” for its support during this work.

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Fischer, A. Stability radii of infinite-dimensional positive systems. Math. Control Signal Systems 10, 223–236 (1997). https://doi.org/10.1007/BF01211504

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  • DOI: https://doi.org/10.1007/BF01211504

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