On the generalized spectral subradius

Adam Czornik

doi:10.1016/j.laa.2005.05.006

On the generalized spectral subradius

Adam Czornik

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

In this note we study the concepts of generalized spectral subradius and joint spectral subradius of a family of matrices. We show that both these numbers are equal and we present two different formulas for them. We also explain the relation between them and maximal Lyapunov exponent of discrete linear time varying system. Finally we show that the spectral subradius is less than one if and only if a discrete linear inclusion is stable in a certain sense.

Język oryginału	angielski
Strony (od–do)	242-248
Liczba stron	7
Czasopismo	Linear Algebra and Its Applications
Tom	407
Numer wydania	1-3
Identyfikatory DOI	https://doi.org/10.1016/j.laa.2005.05.006
Status publikacji	Opublikowano - 15 wrz 2005

Obszary tematyczne ASJC Scopus

Algebra i teoria liczb
Analiza numeryczna
Geometria i topologia
Matematyka dyskretna i kombinatoryka

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10.1016/j.laa.2005.05.006

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Cytowanie

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title = "On the generalized spectral subradius",

abstract = "In this note we study the concepts of generalized spectral subradius and joint spectral subradius of a family of matrices. We show that both these numbers are equal and we present two different formulas for them. We also explain the relation between them and maximal Lyapunov exponent of discrete linear time varying system. Finally we show that the spectral subradius is less than one if and only if a discrete linear inclusion is stable in a certain sense.",

keywords = "Discrete linear inclusions, Generalized spectral subradius, Stability",

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PY - 2005/9/15

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N2 - In this note we study the concepts of generalized spectral subradius and joint spectral subradius of a family of matrices. We show that both these numbers are equal and we present two different formulas for them. We also explain the relation between them and maximal Lyapunov exponent of discrete linear time varying system. Finally we show that the spectral subradius is less than one if and only if a discrete linear inclusion is stable in a certain sense.

AB - In this note we study the concepts of generalized spectral subradius and joint spectral subradius of a family of matrices. We show that both these numbers are equal and we present two different formulas for them. We also explain the relation between them and maximal Lyapunov exponent of discrete linear time varying system. Finally we show that the spectral subradius is less than one if and only if a discrete linear inclusion is stable in a certain sense.

KW - Discrete linear inclusions

KW - Generalized spectral subradius

KW - Stability

UR - https://www.scopus.com/pages/publications/24044473363

U2 - 10.1016/j.laa.2005.05.006

DO - 10.1016/j.laa.2005.05.006

M3 - Article

AN - SCOPUS:24044473363

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

On the generalized spectral subradius

Abstrakt

Obszary tematyczne ASJC Scopus

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