Robust Stability of D-symmetrizable Hyperbolic Systems

• Autorzy: Ziółko M. , Białas S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

robust stability; hyperbolic equations; Hurwitz stability; Schur stability; symmetrizable matrices

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2001
• Tom: vol. 49, nr 1
• Strony: 167--176
• Opis fizyczny: bibliogr. 13 poz.

Twórcy

autor

Ziółko M.

autor

Białas S.

• Department of Electronics, University of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Kraków, Poland (Wydział Elektroniki Akademii Górniczo-Hutniczej)