On the regularity of discrete linear systems

Adam Czornik; Aleksander Nawrat

doi:10.1016/j.laa.2009.12.018

On the regularity of discrete linear systems

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

In this paper we have introduced a new regularity coefficient of time varying discrete linear system. On the base of this coefficient we have characterized the regularity of homogeneous discrete time varying linear systems by nonhomogeneous ones. Moreover we provided bounds for the regularity coefficient in terms of the existing in the literature regularity coefficients.

Język oryginału	angielski
Strony (od–do)	2745-2753
Liczba stron	9
Czasopismo	Linear Algebra and Its Applications
Tom	432
Numer wydania	11
Identyfikatory DOI	https://doi.org/10.1016/j.laa.2009.12.018
Status publikacji	Opublikowano - 1 cze 2010

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.2009.12.018

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title = "On the regularity of discrete linear systems",

abstract = "In this paper we have introduced a new regularity coefficient of time varying discrete linear system. On the base of this coefficient we have characterized the regularity of homogeneous discrete time varying linear systems by nonhomogeneous ones. Moreover we provided bounds for the regularity coefficient in terms of the existing in the literature regularity coefficients.",

keywords = "Characteristic exponents, Lyapunov exponents, Regularity, Time-varying linear systems",

author = "Adam Czornik and Aleksander Nawrat",

year = "2010",

month = jun,

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doi = "10.1016/j.laa.2009.12.018",

language = "English",

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journal = "Linear Algebra and Its Applications",

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T1 - On the regularity of discrete linear systems

AU - Czornik, Adam

AU - Nawrat, Aleksander

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N2 - In this paper we have introduced a new regularity coefficient of time varying discrete linear system. On the base of this coefficient we have characterized the regularity of homogeneous discrete time varying linear systems by nonhomogeneous ones. Moreover we provided bounds for the regularity coefficient in terms of the existing in the literature regularity coefficients.

AB - In this paper we have introduced a new regularity coefficient of time varying discrete linear system. On the base of this coefficient we have characterized the regularity of homogeneous discrete time varying linear systems by nonhomogeneous ones. Moreover we provided bounds for the regularity coefficient in terms of the existing in the literature regularity coefficients.

KW - Characteristic exponents

KW - Lyapunov exponents

KW - Regularity

KW - Time-varying linear systems

UR - https://www.scopus.com/pages/publications/77949659094

U2 - 10.1016/j.laa.2009.12.018

DO - 10.1016/j.laa.2009.12.018

M3 - Article

AN - SCOPUS:77949659094

SN - 0024-3795

VL - 432

SP - 2745

EP - 2753

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 11

ER -

On the regularity of discrete linear systems

Abstrakt

Obszary tematyczne ASJC Scopus

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