Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Numerical characteristics of continuous fractional systems

2015/19/D/ST7/03679

Keywords:

characteristic exponents continuous linear fractional systems control theory linear systems stability controllability stabilizability Lyapunov exponents Perron exponents Bohl exponents pole placement

Descriptors:

  • ST7_1: Control engineering in automation and robotics
  • ST7_4: Micro- and nanosystems engineering
  • ST7_12: Electrical energy production, distribution and application

Panel:

ST7 - Systems and communication engineering: electronics, communication, optoelectronics

Host institution :

Politechnika Śląska, Wydział Automatyki, Elektroniki i Informatyki

woj. śląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Michał Niezabitowski 

Number of co-investigators in the project: 3

Call: SONATA 10 - announced on 2015-09-15

Amount awarded: 266 800 PLN

Project start date (Y-m-d): 2016-06-22

Project end date (Y-m-d): 2020-12-21

Project duration:: 54 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. komputer przenośny z oprogramowaniem (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  • Articles in post-conference publications (20)
  • Book publications / chapters in book publications (2)
  1. Some results on linear nabla Riemann-Liouville fractional difference equations
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Michał Niezabitowski, Stefan Siegmund
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2020, tom: 43, strony: 7815-7824), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.6337 - link to the publication
  2. What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems?
    Authors:
    Artur Babiarz, Adam Czornik, Alexander Konyukh, Michał Niezabitowski
    Academic press:
    Journal of the Franklin Institute-Engineering and Applied Mathematics (rok: 2017, tom: 354(13), strony: 5131-5144), Wydawca: PERGAMON-ELSEVIER SCIENCE LTD
    Status:
    Published
    DOI:
    10.1016/j.jfranklin.2017.05.032 - link to the publication
  3. Global attractivity for some classes of Riemann-Liouville fractional differential systems
    Authors:
    Tuan Hoang The, Adam Czornik, Juan Jose Nieto Roig, Michał Niezabitowski
    Academic press:
    Journal of Integral Equations and Applications (rok: 2019, tom: 31, strony: 265-282), Wydawca: Rocky Mountain Mathematics Consortium
    Status:
    Published
    DOI:
    10.1216/JIE-2019-31-2-265 - link to the publication
  4. Necessary and Sufficient Conditions for Assignability of the Lyapunov Spectrum of Discrete Linear Time-Varying Systems
    Authors:
    Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgeniı Makarov, Michał Niezabitowski, Svetlana Popova
    Academic press:
    IEEE Transactions on Automatic Control (rok: 2018, tom: 63(11), strony: 3825–3837), Wydawca: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
    Status:
    Published
    DOI:
    10.1109/TAC.2018.2823086 - link to the publication
  5. Proportional local assignability of Lyapunov spectrum of linear discrete time-varying systems
    Authors:
    Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova
    Academic press:
    SIAM Journal on Control and Optimization (rok: 2019, tom: 57, strony: 1355-1377), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/17M1141734 - link to the publication
  6. Variation of constant formulas for fractional difference equations
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Michał Niezabitowski, Stefan Siegmund
    Academic press:
    Archives of Control Sciences (rok: 2018, tom: 28(LXIV), 4, strony: 617-633), Wydawca: DE GRUYTER POLAND SP ZOO
    Status:
    Published
    DOI:
    10.24425/acs.2018.125486 - link to the publication
  7. Sufficient conditions for assignability of nonuniform dichotomy spectrum of dicrete time-varying linear systems
    Authors:
    Artur Babiarz, Adam Czornik, Stefan Siegmund
    Academic press:
    Discrete and Continuous Dynamical Systems-series B , Wydawca: AIMS
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Description of relations between regularity coefficients of time-varying linear systems
    Authors:
    Adam Czornik, Michał Niezabitowski, Aliaksei Vaidzelevich
    Academic press:
    Mathematische Nachrichten (rok: 2019, tom: 292(1), strony: 45525), Wydawca: WILEY-V C H VERLAG GMBH
    Status:
    Published
    DOI:
    10.1002/mana.201700402 - link to the publication
  9. Influence of parametric perturbations on Lyapunov exponents of discrete linear time-varying systems
    Authors:
    Evgenii Barabanov, Adam Czornik, Michał Niezabitowski, Aliaksei Vaidzelevich
    Academic press:
    Systems and Control Letters (rok: 2018, tom: 122, strony: 54-59), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.002 - link to the publication
  10. Relations between Bohl and general exponents
    Authors:
    Artur Babiarz, Evgenij Barabanov, Adam Czornik, Alexander Konyukh, Michał Niezabitowski, Aliaksei Vaidzelevich
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2017, tom: 37(10), strony: 5319-5335), Wydawca: AMER INST MATHEMATICAL SCIENCES-AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2017231 - link to the publication
  11. Relations between Bohl exponents and general exponent of discrete linear time-varying systems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Academic press:
    Journal of Difference Equations and Applications (rok: 2019, tom: 25, strony: 560-572), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2019.1604695 - link to the publication
  12. On stabilization of discrete time-varying systems
    Authors:
    Artur Babiarz, Adam Czornik, Stefan Siegmund
    Academic press:
    SIAM Journal on Control and Optimization (rok: 2021, tom: 59, strony: 242-266), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/20M1324326 - link to the publication
  13. Necessary and sufficient conditions for assignability of dichotomy spectrum of one-sided discrete time-varying linear systems
    Authors:
    Artur Babiarz, Le Viet Cuong, Adam Czornik, Thai Son Doan
    Academic press:
    IEEE Transactions on Automatic Control , Wydawca: IEEE
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Proportional local assignability of dichotomy spectrum of one-sided discrete time-varying linear systems
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Thai Son Doan
    Academic press:
    IEEE Transactions on Automatic Control , Wydawca: IEEE
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. Asymptotic properties of discrete linear fractional equations
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Michał Niezabitowski, Stefan Siegmund
    Academic press:
    Bulletin of the Polish Academy of Sciences-Technical Sciences (rok: 2019, tom: 67, strony: 749-759), Wydawca: POLISH ACAD SCI, DIV IV TECHNICAL SCIENCES
    Status:
    Published
    DOI:
    10.24425/bpasts.2019.130184 - link to the publication
  16. Pole placement theorem for discrete time-varying linear systems
    Authors:
    Artur Babiarz, Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova
    Academic press:
    SIAM Journal on Control and Optimization (rok: 2017, tom: 55(2), strony: 671-692), Wydawca: SIAM PUBLICATIONS
    Status:
    Published
    DOI:
    10.1137/15M1033666 - link to the publication
  17. Which functions may be the upper Bohl function of the diagonal discrete linear time-varying systems?
    Authors:
    Adam Czornik, Alexander Konyukh, Michał Niezabitowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 452(2), strony: 1420-1433), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.03.061 - link to the publication
  1. A Hilbert space approach to fractional difference equations
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Konrad Kitzing, Michal Niezabitowski, Stefan Siegmund, Sascha Trostorff, Hoang The Tuan
    Conference:
    24th International Conference on Difference Equations and Applications (ICDEA 2018) (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja 21-25.05.2018
    Status:
    Published
  2. Assignability of Lyapunov spectrum for discrete linear time-varying systems
    Authors:
    Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgenij Makarov, Michal Niezabitowski, Svetlana Popova
    Conference:
    24th International Conference on Difference Equations and Applications (ICDEA 2018) (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja 21-25.05.2018
    Status:
    Published
  3. Assignability of improperness coefficients of discrete linear time-varying systems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    XIX International Didactic Conference on Differential Equations Erugin Readings", Mogilev, Białoruś (rok: 2019, ), Wydawca: IDCDE
    Data:
    konferencja 14-17.05.2019
    Status:
    Published
  4. Discrete time-varying fractional linear equations as Volterra convolution equations
    Authors:
    Adam Czornik, Pham The Anh, Artur Babiarz, Michał Niezabitowski, Stefan Siegmund
    Conference:
    Dynamics, Equations and Applications (rok: 2019, ), Wydawca: AGH University of Science and Technology
    Data:
    konferencja 16-20.09.2019
    Status:
    Published
  5. On asymptotic properties of discrete Volterra equations of convolution type
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Michał Niezabitowski, Stefan Siegmund
    Conference:
    24th International Conference on Methods and Models in Automation and Robotics (MMAR) (rok: 2019, ), Wydawca: IEEE
    Data:
    konferencja 26-29.08.2019
    Status:
    Published
  6. On regularity of discrete time-varying linear systems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    XVII International Scientific Conference on Differential Equations: Eruginskije Cztenia 2017 (rok: 2017, ), Wydawca: Instytut Matematyki Białoruskiej Akademii Nauki
    Data:
    konferencja 16-20.05.2017, Minsk, Belarus
    Status:
    Published
  7. On the influence of small perturbations on the senior Lyapunov exponent of the discrete time-varying system
    Authors:
    Artur Babiarz, Evgenij Barabanov, Adam Czornik, Michał Niezabitowski, Aliaksei Vaidzelevich
    Conference:
    20th World Congress of the International Federation of Automatic Control (rok: 2017, ), Wydawca: Elsevier
    Data:
    konferencja 9-14.07.2017, Toulouse, France
    Status:
    Published
  8. Variation of constant formulas of linear autonomous Grunwald-Letnikov-type fractional difference equations
    Authors:
    Anh Pham The, Piotr Jurgaś, Michał Niezabitowski, Stefan Siegmund
    Conference:
    16th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018), Rodos, Grecja (rok: 2019, ), Wydawca: AIP Conf. Proc.
    Data:
    konferencja 13-18.09.2018
    Status:
    Published
  9. Fractional calculus in human arm modeling
    Authors:
    Tomasz Grzejszczak, Piotr Jurgaś, Adrian Łęgowski, Michał Niezabitowski, Justyna Orwat
    Conference:
    11th Asian Conference on Intelligent Information and Database Systems (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja 08-11.04.2019
    Status:
    Published
  10. On the assignability of regularity coefficients and central exponents of discrete linear time-varying systems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    3rd IFAC Workshop on Linear Parameter-Varying Systems, Eindhoven, Holandia (rok: 2019, ), Wydawca: IFAC
    Data:
    konferencja 4-6.11.2019
    Status:
    Published
  11. Separation result for discrete Volterra equations
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    XIX International Didactic Conference on Differential Equations Erugin Readings", Mogilev, Białoruś (rok: 2019, ), Wydawca: IDCDE
    Data:
    konferencja 14-17.05.2019
    Status:
    Published
  12. What types of functions may be the Perron function of a diagonal discrete linear time-varying systems?
    Authors:
    Artur Babiarz, Adam Czornik, Alexander Konyukh, Michał Niezabitowski
    Conference:
    20th World Congress of the International Federation of Automatic Control (rok: 2017, ), Wydawca: Elsevier
    Data:
    konferencja 9-14.07.2017, Toulouse, France
    Status:
    Published
  13. A lower bound on the separation between two solutions of a scalar Riemann-Liouville fractional differential equation
    Authors:
    Anh Pham The, Piotr Jurgaś, Michał Niezabitowski, Tuan Hoang The
    Conference:
    16th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018) (rok: 2019, ), Wydawca: AIP
    Data:
    konferencja 13-18.09.2018
    Status:
    Published
  14. A proposition of the Lyapunov exponent of fractional system
    Authors:
    Anh Pham The, Adam Czornik, Piotr Jurgaś, Michał Niezabitowski
    Conference:
    6th International Conference Nonlinear Analysis and Extremal Problems (NLA) (rok: 2018, ), Wydawca: NLA
    Data:
    konferencja 25-30.06.2018, Irkuck, Rosja
    Status:
    Published
  15. Controllability of fractional linear switched systems with delays for the fixed sequence
    Authors:
    Artur Babiarz, Jerzy Klamka
    Conference:
    Asian Control Conference, ASCC 2017 (rok: 2017, ), Wydawca: IEEE
    Data:
    konferencja 17-20.12.2017, Gold Coast, Australia
    Status:
    Published
  16. Lyapunov spectrum assignability for discrete linear time-varying system
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    24th International Conference on Difference Equations and Applications (ICDEA 2018), Drezno, Niemcy (rok: 2018, ), Wydawca: ICDEA
    Data:
    konferencja 21-25.05.2018
    Status:
    Published
  17. On Riemann-Liouville fractional differential equations
    Authors:
    Tuan Hoang The, Adam Czornik, Juan Jose Nieto Roig, Michał Niezabitowski
    Conference:
    XVIII International Didactic Conference on Differential Equations Erugin Readings" (rok: 2018, ), Wydawca: IDCDE
    Data:
    konferencja 15-18.05.2018
    Status:
    Published
  18. On asymtotic behaviour of fractional systems
    Authors:
    Pham The Anh, Adam Czornik, Piotr Jurgaś , Michał Niezabitowski
    Conference:
    24th International Conference on Difference Equations and Applications (ICDEA 2018), Drezno, Niemcy (rok: 2018, ), Wydawca: ICDEA
    Data:
    konferencja 21-25.05.2018
    Status:
    Published
  19. Lyapunov exponents of fractional time-varying linear systems
    Authors:
    Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova
    Conference:
    XVII International Scientific Conference on Differential Equations: Eruginskije Cztenia 2017 (rok: 2017, ), Wydawca: Instytut Matematyki Białoruskiej Akademii Nauki
    Data:
    konferencja 16-20.05.2017, Minsk, Belarus
    Status:
    Published
  20. Selected problems of controllability of semilinear fractional systems-a survey
    Authors:
    Artur Babiarz, Jerzy Klamka
    Conference:
    11th Asian Conference on Intelligent Information and Database Systems, Yogyakarta, Indonezja (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja 8-11.04.2019
    Status:
    Published
  1. Sterowalność i stabilność układów semiliniowych ułamkowego rzędu
    Authors:
    Jerzy Klamka, Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Book:
    Automatyka, robotyka i przetwarzanie informacji (rok: 2020, tom: 1, strony: 239-259), Wydawca: Wydawnictwo Naukowe PWN
    Status:
    Published
  2. Asymptotic behavior of discrete fractional systems
    Authors:
    Pham The Anh, Artur Babiarz, Adam Czornik, Stefan Siegmund
    Book:
    Fractional Dynamical Systems: Theory, Methods, and Applications , Wydawca: Springer
    Status:
    Submitted

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