Relations between Exponential Dichotomy of Continuous Time-Varying Linear Systems and Bohl Exponents

Adam Czornik

doi:10.1109/TAC.2025.3646014

Relations between Exponential Dichotomy of Continuous Time-Varying Linear Systems and Bohl Exponents

Adam Czornik

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

Abstrakt

In this note, we present a new necessary and sufficient condition for having a dichotomy by a continuous linear system with time-varying coefficients. This condition is expressed by Bohl exponents. Based on this condition, we give a formula expressing the spectrum of exponential dichotomy in terms of Bohl exponents. The obtained results are illustrated with a numerical example.

Język oryginału	angielski
Strony (od–do)	4051-4056
Liczba stron	6
Czasopismo	IEEE Transactions on Automatic Control
Tom	71
Numer wydania	6
Identyfikatory DOI	https://doi.org/10.1109/TAC.2025.3646014
Status publikacji	Opublikowano - 1 cze 2026

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Zastosowania informatyki
Inżynieria elektryczna i elektroniczna

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10.1109/TAC.2025.3646014

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Cytowanie

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abstract = "In this note, we present a new necessary and sufficient condition for having a dichotomy by a continuous linear system with time-varying coefficients. This condition is expressed by Bohl exponents. Based on this condition, we give a formula expressing the spectrum of exponential dichotomy in terms of Bohl exponents. The obtained results are illustrated with a numerical example.",

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KW - dichotomy

KW - linear time-varying systems

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Relations between Exponential Dichotomy of Continuous Time-Varying Linear Systems and Bohl Exponents

Abstrakt

Obszary tematyczne ASJC Scopus

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