Lyapunov Direct Method for Non-integer Order Systems

M. Zagórowska; J. Baranowski; W. Bauer; T. Dziwiński; P. Piatek; W. Mitkowski

Lyapunov Direct Method for Non-integer Order Systems

M. Zagórowska, J. Baranowski, W. Bauer, T. Dziwiński, P. Piatek, W. Mitkowski

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

Abstract

In this paper an extension of Lyapunov direct method for non-integer order systems is presented. It allows to analyse a special case of classic stability theory - the Mittag-Leffler stability. However, there are some differences that are worth considering. Some of them are analysed in presented examples.

Original language	Undefined/Unknown
Title of host publication	Advances in Modelling and Control of Non-integer-Order Systems
Editors	Krzysztof J. Latawiec, Marian Łukaniszyn, Rafał Stanisławski
Publisher	Springer
Pages	221-228
Number of pages	8
ISBN (Print)	978-3-319-09900-2
Publication status	Published - 2015
Externally published	Yes

Bibliographical note

6th Conference on Non-integer Order Calculus and Its Applications, 2014. Opole, Poland. doi: http://dx.doi.org/10.1007/978-3-319-09900-2_2010.1007/978-3-319-09900-220

Cite this

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title = "Lyapunov Direct Method for Non-integer Order Systems",

abstract = "In this paper an extension of Lyapunov direct method for non-integer order systems is presented. It allows to analyse a special case of classic stability theory - the Mittag-Leffler stability. However, there are some differences that are worth considering. Some of them are analysed in presented examples.",

author = "M. Zag{\'o}rowska and J. Baranowski and W. Bauer and T. Dziwi{\'n}ski and P. Piatek and W. Mitkowski",

note = "6th Conference on Non-integer Order Calculus and Its Applications, 2014. Opole, Poland. doi: http://dx.doi.org/10.1007/978-3-319-09900-2_2010.1007/978-3-319-09900-220",

year = "2015",

language = "Undefined/Unknown",

isbn = "978-3-319-09900-2",

pages = "221--228",

editor = "Latawiec, {Krzysztof J.} and Marian {\L}ukaniszyn and Rafa{\l} Stanis{\l}awski",

booktitle = "Advances in Modelling and Control of Non-integer-Order Systems",

publisher = "Springer",

}

Lyapunov Direct Method for Non-integer Order Systems. / Zagórowska, M.; Baranowski, J.; Bauer, W. et al.
Advances in Modelling and Control of Non-integer-Order Systems. ed. / Krzysztof J. Latawiec; Marian Łukaniszyn; Rafał Stanisławski. Springer, 2015. p. 221-228.

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

TY - CHAP

T1 - Lyapunov Direct Method for Non-integer Order Systems

AU - Zagórowska, M.

AU - Baranowski, J.

AU - Bauer, W.

AU - Dziwiński, T.

AU - Piatek, P.

AU - Mitkowski, W.

N1 - 6th Conference on Non-integer Order Calculus and Its Applications, 2014. Opole, Poland. doi: http://dx.doi.org/10.1007/978-3-319-09900-2_2010.1007/978-3-319-09900-220

PY - 2015

Y1 - 2015

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AB - In this paper an extension of Lyapunov direct method for non-integer order systems is presented. It allows to analyse a special case of classic stability theory - the Mittag-Leffler stability. However, there are some differences that are worth considering. Some of them are analysed in presented examples.

M3 - Chapter

SN - 978-3-319-09900-2

SP - 221

EP - 228

BT - Advances in Modelling and Control of Non-integer-Order Systems

A2 - Latawiec, Krzysztof J.

A2 - Łukaniszyn, Marian

A2 - Stanisławski, Rafał

PB - Springer

ER -