Czasopismo
2001
|
vol. 49, nr 1
|
167-176
Tytuł artykułu
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Abstrakty
The systems under consideration are governed by a set of first-order linear partial differential hyperbolic equations together with boundary conditions. The Lyapunov method is used to verify the stability of the initial-boundary value problem. Necessary and sufficient conditions for stability are obtained under the assumption that the matrix coefficients in the differential equations and in the boundary conditions are D-symmetrizable. The considered systems have an interesting property: Hurwitz type stability and Schur type stability occur in one system simultaneously. The stability of the conditions type system is a stability of wave propagation. The stability of the discrete type system is a stability of the boundary feedback and the boundary reflections. Necessary and sufficient conditions for the robust stability of an initial-boundary value problem are obtained for the case where the matrix coefficients belong to a convex hull of stable and D-symmetrizable matrices.
Rocznik
Tom
Strony
167-176
Opis fizyczny
bibliogr. 13 poz.
Twórcy
autor
autor
- Department of Electronics, University of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Kraków, Poland (Wydział Elektroniki Akademii Górniczo-Hutniczej)
Bibliografia
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Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG1-0012-0006