Selected Problems of Controllability of Semilinear Fractional Systems-A Survey

Artur Babiarz; Jerzy Klamka

doi:10.1007/978-3-030-14799-0_34

Selected Problems of Controllability of Semilinear Fractional Systems-A Survey

Artur Babiarz
, Jerzy Klamka

Department of Automatic Control and Robotics (RAU/RAU3)

Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences

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

1 Citation (Scopus)

Abstract

The following article presents recent results of controllability problem of dynamical systems in infinite and finite-dimensional spaces. Roughly speaking, we describe selected controllability problems of fractional order systems, including approximate controllability and complete controllability.

Original language	English
Title of host publication	Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings
Editors	Ngoc Thanh Nguyen, Ngoc Thanh Nguyen, Bogdan Trawiński, Ford Lumban Gaol, Tzung-Pei Hong
Publisher	Springer Verlag
Pages	397-407
Number of pages	11
ISBN (Print)	9783030147983
DOIs	https://doi.org/10.1007/978-3-030-14799-0_34
Publication status	Published - 2019
Event	11th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2019 - Yogyakarta, Indonesia Duration: 8 Apr 2019 → 11 Apr 2019

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11431 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	11th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2019
Country/Territory	Indonesia
City	Yogyakarta
Period	8/04/19 → 11/04/19

Keywords

Banach space
Controllability
Fixed point theorem
Fractional systems

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-030-14799-0_34

Cite this

Babiarz, A., & Klamka, J. (2019). Selected Problems of Controllability of Semilinear Fractional Systems-A Survey. In N. T. Nguyen, N. T. Nguyen, B. Trawiński, F. L. Gaol, & T.-P. Hong (Eds.), Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings (pp. 397-407). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11431 LNAI). Springer Verlag. https://doi.org/10.1007/978-3-030-14799-0_34

Babiarz, Artur ; Klamka, Jerzy. / Selected Problems of Controllability of Semilinear Fractional Systems-A Survey. Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings. editor / Ngoc Thanh Nguyen ; Ngoc Thanh Nguyen ; Bogdan Trawiński ; Ford Lumban Gaol ; Tzung-Pei Hong. Springer Verlag, 2019. pp. 397-407 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Selected Problems of Controllability of Semilinear Fractional Systems-A Survey",

abstract = "The following article presents recent results of controllability problem of dynamical systems in infinite and finite-dimensional spaces. Roughly speaking, we describe selected controllability problems of fractional order systems, including approximate controllability and complete controllability.",

keywords = "Banach space, Controllability, Fixed point theorem, Fractional systems",

author = "Artur Babiarz and Jerzy Klamka",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 11th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2019 ; Conference date: 08-04-2019 Through 11-04-2019",

year = "2019",

doi = "10.1007/978-3-030-14799-0\_34",

language = "English",

isbn = "9783030147983",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "397--407",

editor = "Nguyen, \{Ngoc Thanh\} and Nguyen, \{Ngoc Thanh\} and Bogdan Trawi{\'n}ski and Gaol, \{Ford Lumban\} and Tzung-Pei Hong",

booktitle = "Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings",

address = "Germany",

}

Babiarz, A & Klamka, J 2019, Selected Problems of Controllability of Semilinear Fractional Systems-A Survey. in NT Nguyen, NT Nguyen, B Trawiński, FL Gaol & T-P Hong (eds), Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11431 LNAI, Springer Verlag, pp. 397-407, 11th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2019, Yogyakarta, Indonesia, 8/04/19. https://doi.org/10.1007/978-3-030-14799-0_34

Selected Problems of Controllability of Semilinear Fractional Systems-A Survey. / Babiarz, Artur; Klamka, Jerzy.
Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings. ed. / Ngoc Thanh Nguyen; Ngoc Thanh Nguyen; Bogdan Trawiński; Ford Lumban Gaol; Tzung-Pei Hong. Springer Verlag, 2019. p. 397-407 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11431 LNAI).

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

TY - GEN

T1 - Selected Problems of Controllability of Semilinear Fractional Systems-A Survey

AU - Babiarz, Artur

AU - Klamka, Jerzy

PY - 2019

Y1 - 2019

N2 - The following article presents recent results of controllability problem of dynamical systems in infinite and finite-dimensional spaces. Roughly speaking, we describe selected controllability problems of fractional order systems, including approximate controllability and complete controllability.

AB - The following article presents recent results of controllability problem of dynamical systems in infinite and finite-dimensional spaces. Roughly speaking, we describe selected controllability problems of fractional order systems, including approximate controllability and complete controllability.

KW - Banach space

KW - Controllability

KW - Fixed point theorem

KW - Fractional systems

UR - https://www.scopus.com/pages/publications/85064532501

U2 - 10.1007/978-3-030-14799-0_34

DO - 10.1007/978-3-030-14799-0_34

M3 - Conference contribution

AN - SCOPUS:85064532501

SN - 9783030147983

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 397

EP - 407

BT - Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings

A2 - Nguyen, Ngoc Thanh

A2 - Trawiński, Bogdan

A2 - Gaol, Ford Lumban

A2 - Hong, Tzung-Pei

PB - Springer Verlag

T2 - 11th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2019

Y2 - 8 April 2019 through 11 April 2019

ER -

Babiarz A, Klamka J. Selected Problems of Controllability of Semilinear Fractional Systems-A Survey. In Nguyen NT, Nguyen NT, Trawiński B, Gaol FL, Hong TP, editors, Intelligent Information and Database Systems - 11th Asian Conference, ACIIDS 2019, Proceedings. Springer Verlag. 2019. p. 397-407. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-14799-0_34

Selected Problems of Controllability of Semilinear Fractional Systems-A Survey

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