On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

Adam Czornik; Alexander Konyukh; Iryna Konyukh; Michal Niezabitowski; Justyna Orwat

doi:10.1109/TAC.2019.2911848

On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

Adam Czornik
, Alexander Konyukh
, Iryna Konyukh
, Michal Niezabitowski
, Justyna Orwat

Belarus State Economic University
Belarusian State University of Informatics and Radioelectronics

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

4 Cytowania z bazy Scopus

Abstrakt

In this paper, we present necessary and sufficient conditions for two given functions to be the Lyapunov and the upper Bohl exponent of a certain discrete linear system with diagonal coefficients. The obtained conditions have a form of easily verifiable algebraic conditions.

Język oryginału	angielski
Numer artykułu	8704877
Strony (od–do)	5171-5174
Liczba stron	4
Czasopismo	IEEE Transactions on Automatic Control
Tom	64
Numer wydania	12
Identyfikatory DOI	https://doi.org/10.1109/TAC.2019.2911848
Status publikacji	Opublikowano - gru 2019

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Zastosowania informatyki
Inżynieria elektryczna i elektroniczna

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10.1109/TAC.2019.2911848

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Cytowanie

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title = "On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems",

abstract = "In this paper, we present necessary and sufficient conditions for two given functions to be the Lyapunov and the upper Bohl exponent of a certain discrete linear system with diagonal coefficients. The obtained conditions have a form of easily verifiable algebraic conditions.",

keywords = "Discrete linear time-varying system, Lyapunov exponent, upper Bohl exponent",

author = "Adam Czornik and Alexander Konyukh and Iryna Konyukh and Michal Niezabitowski and Justyna Orwat",

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AU - Czornik, Adam

AU - Konyukh, Alexander

AU - Konyukh, Iryna

AU - Niezabitowski, Michal

AU - Orwat, Justyna

PY - 2019/12

Y1 - 2019/12

N2 - In this paper, we present necessary and sufficient conditions for two given functions to be the Lyapunov and the upper Bohl exponent of a certain discrete linear system with diagonal coefficients. The obtained conditions have a form of easily verifiable algebraic conditions.

AB - In this paper, we present necessary and sufficient conditions for two given functions to be the Lyapunov and the upper Bohl exponent of a certain discrete linear system with diagonal coefficients. The obtained conditions have a form of easily verifiable algebraic conditions.

KW - Discrete linear time-varying system

KW - Lyapunov exponent

KW - upper Bohl exponent

UR - https://www.scopus.com/pages/publications/85077367320

U2 - 10.1109/TAC.2019.2911848

DO - 10.1109/TAC.2019.2911848

M3 - Article

AN - SCOPUS:85077367320

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

Abstrakt

Obszary tematyczne ASJC Scopus

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