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

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

4 Citations (Scopus)

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.

Original language	English
Article number	8704877
Pages (from-to)	5171-5174
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	64
Issue number	12
DOIs	https://doi.org/10.1109/TAC.2019.2911848
Publication status	Published - Dec 2019

Keywords

Discrete linear time-varying system
Lyapunov exponent
upper Bohl exponent

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2019.2911848

Cite this

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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

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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

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M3 - Article

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JO - IEEE Transactions on Automatic Control

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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