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

Department of Automatic Control and Robotics (RAU/RAU3)

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2745-2753
Number of pages	9
Journal	Linear Algebra and Its Applications
Volume	432
Issue number	11
DOIs	https://doi.org/10.1016/j.laa.2009.12.018
Publication status	Published - 1 Jun 2010

Keywords

Characteristic exponents
Lyapunov exponents
Regularity
Time-varying linear systems

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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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.",

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author = "Adam Czornik and Aleksander Nawrat",

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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

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SN - 0024-3795

VL - 432

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EP - 2753

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 11

ER -

On the regularity of discrete linear systems

Abstract

Keywords

ASJC Scopus subject areas

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