Abstract
Consideration was given to the characteristic polynomials with special affine uncertainty. For this family, the stability domain in the parameter space was shown to be a union of polyhedra. For continuous-time and discrete-time systems, a simple method was proposed to single out the stability domain and determine the stability radius for different norms of uncertainty. Efficiency of this method was corroborated by examples.
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Original Russian Text © E.N. Gryazina, B.T. Polyak, 2007, published in Avtomatika i Telemekhanika, 2007, No. 12, pp. 38–52.
This work was supported by the Russian Foundation for Basic Research, projects nos. 05-01-00114, 05-08-00114, and the Program of the Presidium of Russian Academy of Sciences, project no. 22.
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Gryazina, E.N., Polyak, B.T. Multidimensional stability domain of special polynomial families. Autom Remote Control 68, 2128–2141 (2007). https://doi.org/10.1134/S000511790712003X
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DOI: https://doi.org/10.1134/S000511790712003X