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Stabilność w sensie Hurwitza macierzy przedziałowych

100%
Prysak P.
Zeszyty Naukowe Uniwersytetu Ekonomicznego w Krakowie
|
2011
|
issue 873
81-93
EN
The paper presents Hurwitz stability of interval matrices and examines the linear dynamic system where parameters are not precisely known. We study stability dynamic systems for which the matrix is stable and establish that we know only the upper and lower bounds of intervals in which the elements of the matrix are confined. In this way we study the stability of interval matrices. We present a definition and criteria for Hurwitz stability of interval matrices and provide sufficient conditions for the stability of interval matrices. We also employ the necessary and sufficient conditions for the Hurwitz stability of interval matrices, which are used to construct an algorithm to study the stability of interval matrices. The algorithms are illustrated with examples.
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