Abstract
In [14], [15] we introduced complex and real stability radii as robustness measures for stable matrices A under complex and real perturbations of the form A → A + DΔE where D, E are given and Δ is unknown. In this paper we give a survey of the results obtained so far. Although our main reference will be to continuous-time systems we will also present some results for the discrete-time case.
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Hinrichsen, D., Pritchard, A.J. (1990). Real and Complex Stability Radii: A Survey. In: Hinrichsen, D., Mårtensson, B. (eds) Control of Uncertain Systems. Progress in Systems and Control Theory, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2108-9_7
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DOI: https://doi.org/10.1007/978-1-4757-2108-9_7
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