The alpha-scalar Diagonal Stability of Some Classes of Matrices

• Autorzy: Wanat M.
• Języki publikacji: EN

Abstrakty

EN

In the paper we formulate the sufficient condition which must satisfy an irreducible acyclic matrix A to be alpha-scalar diagonally stable. Moreover we consider the existence of positive definite diagonal matrix C and positive definite alpha-scalar matrix D such that DA+ATD=C. These conditions are the generalizations of several theorems which are the necessary and sufficient condition which must satisfy square matrix A to exist positive diagonal matrices C and D such that DA+ATD=C.

Słowa kluczowe

EN

diagonal stability; alpha-scalar diagonal stability; P alpha - matrix; Lyapunov equation; acyclic matrix

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2003
• Tom: Vol. 51, nr 1
• Strony: 105--112
• Opis fizyczny: bibliogr. 7 poz

Twórcy

autor

Wanat M.

• Department of Applied Mathematics, University of Mining and Metallurgy, al. Mickiewicza 30, 30-059 Kraków (Wydział Matematyki Stosowanej, Akademia Górniczo-Hutnicza)

Bibliografia

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