A formula for the lower Bohl exponent of discrete time-varying systems

Adam Czornik; Krzysztof Simek

doi:10.24425/acs.2023.146282

A formula for the lower Bohl exponent of discrete time-varying systems

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

Abstrakt

In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.

Język oryginału	angielski
Strony (od–do)	413-424
Liczba stron	12
Czasopismo	Archives of Control Sciences
Tom	33
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.24425/acs.2023.146282
Status publikacji	Opublikowano - 2023

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Modelowanie i symulacja
Sterowanie i optymalizacja

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10.24425/acs.2023.146282

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Cytowanie

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title = "A formula for the lower Bohl exponent of discrete time-varying systems",

abstract = "In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.",

keywords = "Bohl exponent, asymptotic stability, time-varying systems",

author = "Adam Czornik and Krzysztof Simek",

note = "Publisher Copyright: Copyright {\textcopyright} 2023. The Author(s).",

year = "2023",

doi = "10.24425/acs.2023.146282",

language = "English",

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journal = "Archives of Control Sciences",

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T1 - A formula for the lower Bohl exponent of discrete time-varying systems

AU - Czornik, Adam

AU - Simek, Krzysztof

PY - 2023

Y1 - 2023

N2 - In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.

AB - In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.

KW - Bohl exponent

KW - asymptotic stability

KW - time-varying systems

UR - https://www.scopus.com/pages/publications/85164834261

U2 - 10.24425/acs.2023.146282

DO - 10.24425/acs.2023.146282

M3 - Article

AN - SCOPUS:85164834261

SN - 1230-2384

VL - 33

SP - 413

EP - 424

JO - Archives of Control Sciences

JF - Archives of Control Sciences

IS - 2

ER -

A formula for the lower Bohl exponent of discrete time-varying systems

Abstrakt

Obszary tematyczne ASJC Scopus

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