The relations between the senior upper general exponent and the upper Bohl exponents

Adam Czornik

doi:10.1109/MMAR.2014.6957476

The relations between the senior upper general exponent and the upper Bohl exponents

Adam Czornik

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

17 Cytowania z bazy Scopus

Abstrakt

The Bohl exponents, similarly to the Lyapunov exponents, are among the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the Bohl exponents are investigated much less. In this paper we consider the so-called senior upper general exponent of a discrete linear time-varying system and present some alternative formulas for it. Moreover, we discuss relations between upper Bohl exponents of the perturbed system and the senior upper general exponent of the unperturbed system.

Język oryginału	angielski
Tytuł publikacji goszczącej	2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014
Wydawca	Institute of Electrical and Electronics Engineers Inc.
Strony	897-902
Liczba stron	6
ISBN (elektroniczny)	9781479950812
Identyfikatory DOI	https://doi.org/10.1109/MMAR.2014.6957476
Status publikacji	Opublikowano - 13 lis 2014
Wydarzenie	2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014 - Miedzyzdroje, Polska Czas trwania: 2 wrz 2014 → 5 wrz 2014

Seria publikacji

Nazwa	2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014

Konferencja

Konferencja	2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014
Kraj/Terytorium	Polska
Miejscowość	Miedzyzdroje
Okres	2/09/14 → 5/09/14

Obszary tematyczne ASJC Scopus

Sztuczna inteligencja
Interakcja człowiek-komputer

Uzyskaj dostęp do dokumentu

10.1109/MMAR.2014.6957476

Inne pliki i linki

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Cytowanie

Czornik, A. (2014). The relations between the senior upper general exponent and the upper Bohl exponents. W 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014 (str. 897-902). Artykułu 6957476 (2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MMAR.2014.6957476

Czornik, Adam. / The relations between the senior upper general exponent and the upper Bohl exponents. 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014. Institute of Electrical and Electronics Engineers Inc., 2014. str. 897-902 (2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014).

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title = "The relations between the senior upper general exponent and the upper Bohl exponents",

abstract = "The Bohl exponents, similarly to the Lyapunov exponents, are among the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the Bohl exponents are investigated much less. In this paper we consider the so-called senior upper general exponent of a discrete linear time-varying system and present some alternative formulas for it. Moreover, we discuss relations between upper Bohl exponents of the perturbed system and the senior upper general exponent of the unperturbed system.",

keywords = "Lyapunov exponent, perturbed system, senior upper general exponent, stability of linear systems, time-varying systems, upper Bohl exponents",

author = "Adam Czornik",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014 ; Conference date: 02-09-2014 Through 05-09-2014",

year = "2014",

month = nov,

day = "13",

doi = "10.1109/MMAR.2014.6957476",

language = "English",

series = "2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014",

address = "United States",

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Czornik, A 2014, The relations between the senior upper general exponent and the upper Bohl exponents. w 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014., 6957476, 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014, Institute of Electrical and Electronics Engineers Inc., str. 897-902, 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014, Miedzyzdroje, Polska, 2/09/14. https://doi.org/10.1109/MMAR.2014.6957476

The relations between the senior upper general exponent and the upper Bohl exponents. / Czornik, Adam.
2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014. Institute of Electrical and Electronics Engineers Inc., 2014. str. 897-902 6957476 (2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

T1 - The relations between the senior upper general exponent and the upper Bohl exponents

AU - Czornik, Adam

PY - 2014/11/13

Y1 - 2014/11/13

N2 - The Bohl exponents, similarly to the Lyapunov exponents, are among the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the Bohl exponents are investigated much less. In this paper we consider the so-called senior upper general exponent of a discrete linear time-varying system and present some alternative formulas for it. Moreover, we discuss relations between upper Bohl exponents of the perturbed system and the senior upper general exponent of the unperturbed system.

AB - The Bohl exponents, similarly to the Lyapunov exponents, are among the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the Bohl exponents are investigated much less. In this paper we consider the so-called senior upper general exponent of a discrete linear time-varying system and present some alternative formulas for it. Moreover, we discuss relations between upper Bohl exponents of the perturbed system and the senior upper general exponent of the unperturbed system.

KW - Lyapunov exponent

KW - perturbed system

KW - senior upper general exponent

KW - stability of linear systems

KW - time-varying systems

KW - upper Bohl exponents

UR - https://www.scopus.com/pages/publications/84915749592

U2 - 10.1109/MMAR.2014.6957476

DO - 10.1109/MMAR.2014.6957476

M3 - Conference contribution

AN - SCOPUS:84915749592

T3 - 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014

SP - 897

EP - 902

BT - 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014

Y2 - 2 September 2014 through 5 September 2014

ER -

Czornik A. The relations between the senior upper general exponent and the upper Bohl exponents. W 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014. Institute of Electrical and Electronics Engineers Inc. 2014. str. 897-902. 6957476. (2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014). doi: 10.1109/MMAR.2014.6957476

The relations between the senior upper general exponent and the upper Bohl exponents

Abstrakt

Seria publikacji

Konferencja

Obszary tematyczne ASJC Scopus

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Inne pliki i linki

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