Controllability of fractional linear switched systems with delays for the fixed sequence

Artur Babiarz; Jerzy Klamka

doi:10.1109/ASCC.2017.8287463

Controllability of fractional linear switched systems with delays for the fixed sequence

Artur Babiarz
, Jerzy Klamka

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

In the paper unconstrained controllability problem of discrete-time linear switched fractional order systems with fixed sequence is addressed. We show the solution of discrete-time switched fractional order system with p delays. Additionally, a transition matrix of switched fractional systems with delays is given. A sufficient condition for unconstrained controllability in a given steps is formulated and proved by the general formula of difference state equation solution. Finally, an illustrative example is shown.

Original language	English
Title of host publication	2017 Asian Control Conference, ASCC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1894-1899
Number of pages	6
ISBN (Electronic)	9781509015733
DOIs	https://doi.org/10.1109/ASCC.2017.8287463
Publication status	Published - 7 Feb 2018
Event	2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia Duration: 17 Dec 2017 → 20 Dec 2017

Publication series

Name	2017 Asian Control Conference, ASCC 2017
Volume	2018-January

Conference

Conference	2017 11th Asian Control Conference, ASCC 2017
Country/Territory	Australia
City	Gold Coast
Period	17/12/17 → 20/12/17

ASJC Scopus subject areas

Control and Optimization

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10.1109/ASCC.2017.8287463

Cite this

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title = "Controllability of fractional linear switched systems with delays for the fixed sequence",

abstract = "In the paper unconstrained controllability problem of discrete-time linear switched fractional order systems with fixed sequence is addressed. We show the solution of discrete-time switched fractional order system with p delays. Additionally, a transition matrix of switched fractional systems with delays is given. A sufficient condition for unconstrained controllability in a given steps is formulated and proved by the general formula of difference state equation solution. Finally, an illustrative example is shown.",

author = "Artur Babiarz and Jerzy Klamka",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 11th Asian Control Conference, ASCC 2017 ; Conference date: 17-12-2017 Through 20-12-2017",

year = "2018",

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doi = "10.1109/ASCC.2017.8287463",

language = "English",

series = "2017 Asian Control Conference, ASCC 2017",

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Babiarz, A & Klamka, J 2018, Controllability of fractional linear switched systems with delays for the fixed sequence. in 2017 Asian Control Conference, ASCC 2017. 2017 Asian Control Conference, ASCC 2017, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 1894-1899, 2017 11th Asian Control Conference, ASCC 2017, Gold Coast, Australia, 17/12/17. https://doi.org/10.1109/ASCC.2017.8287463

Controllability of fractional linear switched systems with delays for the fixed sequence. / Babiarz, Artur; Klamka, Jerzy.
2017 Asian Control Conference, ASCC 2017. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1894-1899 (2017 Asian Control Conference, ASCC 2017; Vol. 2018-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Y1 - 2018/2/7

N2 - In the paper unconstrained controllability problem of discrete-time linear switched fractional order systems with fixed sequence is addressed. We show the solution of discrete-time switched fractional order system with p delays. Additionally, a transition matrix of switched fractional systems with delays is given. A sufficient condition for unconstrained controllability in a given steps is formulated and proved by the general formula of difference state equation solution. Finally, an illustrative example is shown.

AB - In the paper unconstrained controllability problem of discrete-time linear switched fractional order systems with fixed sequence is addressed. We show the solution of discrete-time switched fractional order system with p delays. Additionally, a transition matrix of switched fractional systems with delays is given. A sufficient condition for unconstrained controllability in a given steps is formulated and proved by the general formula of difference state equation solution. Finally, an illustrative example is shown.

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ER -

Controllability of fractional linear switched systems with delays for the fixed sequence

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