On the number of upper Bohl exponents for diagonal discrete time-varying linear system

Artur Babiarz; Adam Czornik; Michał Niezabitowski

doi:10.1016/j.jmaa.2015.04.022

On the number of upper Bohl exponents for diagonal discrete time-varying linear system

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

21 Cytowania z bazy Scopus

Abstrakt

The Bohl exponents, similarly as the Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. By contrast with properties of the Lyapunov characteristics, properties of the Bohl exponents are much less investigated. In this paper we present some new properties of the upper Bohl exponents of the diagonal discrete time-varying linear system.

Język oryginału	angielski
Strony (od–do)	337-353
Liczba stron	17
Czasopismo	Journal of Mathematical Analysis and Applications
Tom	429
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.1016/j.jmaa.2015.04.022
Status publikacji	Opublikowano - 2015

Obszary tematyczne ASJC Scopus

Analiza
Matematyka stosowana

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10.1016/j.jmaa.2015.04.022

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Cytowanie

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title = "On the number of upper Bohl exponents for diagonal discrete time-varying linear system",

abstract = "The Bohl exponents, similarly as the Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. By contrast with properties of the Lyapunov characteristics, properties of the Bohl exponents are much less investigated. In this paper we present some new properties of the upper Bohl exponents of the diagonal discrete time-varying linear system.",

keywords = "Bohl exponents, Discrete linear time-varying systems, Lyapunov exponents, Stability of linear systems",

author = "Artur Babiarz and Adam Czornik and Micha{\l} Niezabitowski",

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AU - Babiarz, Artur

AU - Czornik, Adam

AU - Niezabitowski, Michał

PY - 2015

Y1 - 2015

N2 - The Bohl exponents, similarly as the Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. By contrast with properties of the Lyapunov characteristics, properties of the Bohl exponents are much less investigated. In this paper we present some new properties of the upper Bohl exponents of the diagonal discrete time-varying linear system.

AB - The Bohl exponents, similarly as the Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. By contrast with properties of the Lyapunov characteristics, properties of the Bohl exponents are much less investigated. In this paper we present some new properties of the upper Bohl exponents of the diagonal discrete time-varying linear system.

KW - Bohl exponents

KW - Discrete linear time-varying systems

KW - Lyapunov exponents

KW - Stability of linear systems

UR - https://www.scopus.com/pages/publications/84933181749

U2 - 10.1016/j.jmaa.2015.04.022

DO - 10.1016/j.jmaa.2015.04.022

M3 - Article

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SN - 0022-247X

VL - 429

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JF - Journal of Mathematical Analysis and Applications

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ER -

On the number of upper Bohl exponents for diagonal discrete time-varying linear system

Abstrakt

Obszary tematyczne ASJC Scopus

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