Controllability of positive discrete-time switched fractional order systems for fixed switching sequence

Artur Babiarz; Adrian Łęgowski; Michał Niezabitowski

doi:10.1007/978-3-319-45243-2_28

Controllability of positive discrete-time switched fractional order systems for fixed switching sequence

Artur Babiarz
, Adrian Łęgowski
, Michał Niezabitowski

Katedra Automatyki i Robotyki (RAU/RAU3)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł z konferencji › recenzja

8 Cytowania z bazy Scopus

Abstrakt

In the article unconstrained controllability problem of positive discrete-time switched fractional order systems is addressed. A solution of discrete-time switched fractional order systems is presented. Additionally, a transition matrix of considered dynamical systems is given. A sufficient condition for unconstrained controllability in a given number of steps is formulated and proved using the general formula of solution of difference state equation. Finally, the illustrative examples are also presented.

Język oryginału	angielski
Strony (od–do)	303-312
Liczba stron	10
Czasopismo	Lecture Notes in Computer Science
Tom	9875 LNCS
Identyfikatory DOI	https://doi.org/10.1007/978-3-319-45243-2_28
Status publikacji	Opublikowano - 2016
Wydarzenie	8th International Conference on Computational Collective Intelligence, ICCCI 2016 - Halkidiki, Grecja Czas trwania: 28 wrz 2016 → 30 wrz 2016

Obszary tematyczne ASJC Scopus

Informatyka teoretyczna
Informatyka ogólna

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10.1007/978-3-319-45243-2_28

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title = "Controllability of positive discrete-time switched fractional order systems for fixed switching sequence",

abstract = "In the article unconstrained controllability problem of positive discrete-time switched fractional order systems is addressed. A solution of discrete-time switched fractional order systems is presented. Additionally, a transition matrix of considered dynamical systems is given. A sufficient condition for unconstrained controllability in a given number of steps is formulated and proved using the general formula of solution of difference state equation. Finally, the illustrative examples are also presented.",

keywords = "Controllability, Fractional order system, Switched system",

author = "Artur Babiarz and Adrian {\L}{\c e}gowski and Micha{\l} Niezabitowski",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 8th International Conference on Computational Collective Intelligence, ICCCI 2016 ; Conference date: 28-09-2016 Through 30-09-2016",

year = "2016",

doi = "10.1007/978-3-319-45243-2\_28",

language = "English",

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journal = "Lecture Notes in Computer Science",

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TY - JOUR

T1 - Controllability of positive discrete-time switched fractional order systems for fixed switching sequence

AU - Babiarz, Artur

AU - Łęgowski, Adrian

AU - Niezabitowski, Michał

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016.

PY - 2016

Y1 - 2016

N2 - In the article unconstrained controllability problem of positive discrete-time switched fractional order systems is addressed. A solution of discrete-time switched fractional order systems is presented. Additionally, a transition matrix of considered dynamical systems is given. A sufficient condition for unconstrained controllability in a given number of steps is formulated and proved using the general formula of solution of difference state equation. Finally, the illustrative examples are also presented.

AB - In the article unconstrained controllability problem of positive discrete-time switched fractional order systems is addressed. A solution of discrete-time switched fractional order systems is presented. Additionally, a transition matrix of considered dynamical systems is given. A sufficient condition for unconstrained controllability in a given number of steps is formulated and proved using the general formula of solution of difference state equation. Finally, the illustrative examples are also presented.

KW - Controllability

KW - Fractional order system

KW - Switched system

UR - https://www.scopus.com/pages/publications/84989321776

U2 - 10.1007/978-3-319-45243-2_28

DO - 10.1007/978-3-319-45243-2_28

M3 - Conference article

AN - SCOPUS:84989321776

SN - 0302-9743

VL - 9875 LNCS

SP - 303

EP - 312

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

T2 - 8th International Conference on Computational Collective Intelligence, ICCCI 2016

Y2 - 28 September 2016 through 30 September 2016

ER -

Controllability of positive discrete-time switched fractional order systems for fixed switching sequence

Abstrakt

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