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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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