Multidimensional stability domain of special polynomial families

E. N. Gryazina, B. T. Polyak

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2128-2141
Number of pages14
JournalAutomation and Remote Control
Issue number12
Publication statusPublished - Dec 2007
Externally publishedYes


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