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New mathematical models for control theory purposes

2017/25/B/ST7/02888

Keywords

Descriptors

  • ST7_4: Inżynieria systemów, sensoryka, automatyka
  • ST7_1: Inżynieria sterowania
  • ST7_12: Inne zagadnienia pokrewne

Panel

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

Host institution

Politechnika Śląska, Wydział Automatyki, Elektroniki i Informatyki

Voivodeship: śląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Michał Czesław Niezabitowski

Number of co-investigators in the project: 14

Call

OPUS 13 – announced on 2017-03-15

Amount awarded
672 400 PLN
Project start date
2018-10-31
Project end date
2021-10-30
Project duration
36 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. Cost: 20 000 PLN

Information in the final report

Publication in academic press/journals (20)

  1. A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks

    Authors:
    Pratap Anbalagan, Evren Hincal, Raja Ramachandran, Dumitru Baleanu, Jinde Cao, Michał Niezabitowski
    Academic press:
    AIMS Mathematics (year: 2021, volume: 6(5), pages: 4526-4555), Publisher: AIMS
    Status:
    Published
    DOI:
    10.3934/math.2021268 – link to the publication

  2. Exponential stability of non-linear stochastic delay differential system with generalized delay-dependent impulsive points

    Authors:
    Kaviya Rengamannar, Ganesh Priya Balakrishnan, Muthukumar Palanisamy, Michał Niezabitowski
    Academic press:
    Applied Mathematics and Computation (year: 2020, volume: 382, pages: 46035), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2020.125344 – link to the publication

  3. Application of Caputo-Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: an LMI approach

    Authors:
    Dianavinnarasi J., Raja R., Alzabut J., Cao J., Michał Niezabitowski, Bagdasar O.
    Academic press:
    Mathematics and Computers in Simulation (year: 2022, volume: 201, pages: 462-485), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matcom.2021.02.002 – link to the publication

  4. 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 (year: 2019, volume: 67, pages: 749-759), Publisher: POLISH ACAD SCI, DIV IV TECHNICAL SCIENCES
    Status:
    Published
    DOI:
    10.24425/bpasts.2019.130184 – link to the publication

  5. Assignability of numerical characteristics of time-varying systems

    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka
    Academic press:
    Bulletin of the Polish Academy of Sciences-Technical Sciences (year: 2019, volume: 67, pages: 1007-1022), Publisher: POLISH ACAD SCI, DIV IV TECHNICAL SCIENCES
    Status:
    Published
    DOI:
    10.24425/bpasts.2019.130890 – link to the publication

  6. 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 (year: 2020, volume: 43, pages: 7815-7824), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.6337 – link to the publication

  7. On Lyapunov and upper Bohl exponents of diagonal discrete linear time-varying systems

    Authors:
    Adam Czornik, Alexander Konyukh, Iryna Konyukh, Michał Niezabitowski, Justyna Orwat
    Academic press:
    IEEE Transactions on Automatic Control (year: 2019, volume: 64, pages: 5171-5174), Publisher: IEEE
    Status:
    Published

  8. 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 (year: 2019, volume: 25, pages: 560-572), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2019.1604695 – link to the publication

  9. 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 (year: 2019, volume: 57, pages: 1355-1377), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/17M1141734 – link to the publication

  10. Impulsive effects on stability and passivity analysis of memristor-based fractional-order competitive neural networks

    Authors:
    Grienggrai Rajchakit, Pharunyou Chanthorn, Michał Niezabitowski, Ramachandran Raja, Dumitru Baleanu, Anbalagan Pratap
    Academic press:
    Neurocomputing (year: 2020, volume: 417, pages: 290-301), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.neucom.2020.07.036 – link to the publication

  11. A Lyapunov-Krasovskii functional approach to stability and linear feedback synchronization control for nonlinear multi-agent systems with mixed time delays

    Authors:
    Stephen A., Raja R., Alzabut J., Zhu Q., Michał Niezabitowski, Lim C.P.
    Academic press:
    Mathematical Problems in Engineering (year: 2021, volume: 2021, pages: 1-20 (art. no. 6616857)), Publisher: Hindawi
    Status:
    Published
    DOI:
    10.1155/2021/6616857 – link to the publication

  12. Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients

    Authors:
    Adam Czornik, Michał Niezabitowski, Evgenii Makarov, Svetlana Popova, Vasilii Zaitsev
    Academic press:
    Archives of Control Sciences (year: 2021, volume: 31(1), pages: 81-98), Publisher: POLSKA AKAD NAUK, POLISH ACAD SCIENCES
    Status:
    Published
    DOI:
    10.24425/acs.2021.136881 – link to the publication

  13. Delay-coupled fractional order complex Cohen-Grossberg neural networks under parameter uncertainty: synchronization stability criteria

    Authors:
    Pratap Anbalagan, Evren Hincal, Raja Ramachandran, Dumitru Baleanu, Jinde Cao, Chuangxia Huang, Michał Niezabitowski
    Academic press:
    AIMS Mathematics (year: 2021, volume: 6(3), pages: 2844-2873), Publisher: AIMS
    Status:
    Published
    DOI:
    10.3934/math.2021172 – link to the publication

  14. Existence, uniqueness, and exponential stability of uncertain delayed neural networks with inertial term: nonreduced order case

    Authors:
    Iswarya M., Raja R., Zhu Q., Michał Niezabitowski, Alzabut J., Maharajan C.
    Academic press:
    Mathematical Problems in Engineering, 1-15 (art. no. 5560763) (2021). (year: 2021, volume: 2021, pages: 46037), Publisher: Hindawi
    Status:
    Published
    DOI:
    10.1155/2021/5560763 – link to the publication

  15. Global existence and stability of Nicholson blowflies model with harvesting and random effect

    Authors:
    Syed Abbas, Michał Niezabitowski, Said R. Grace
    Academic press:
    Nonlinear Dynamics (year: 2021, volume: 103(2), pages: 2109-2123), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-020-06196-z – link to the publication

  16. Spectrum assignment and stabilization by static output feedback of linear difference equations with state variable delays

    Authors:
    Adam Czornik, Michał Niezabitowski, Vasilii Zaitsev, Inna Kim
    Academic press:
    European Journal of Control (year: 2022, volume: 63, pages: 40-47), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ejcon.2021.08.001 – link to the publication

  17. Lyapunov spectrum local assignability of linear discrete time-varying systems by static output feedback

    Authors:
    Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova, Vasilii Zaitsev
    Academic press:
    IEEE Access (year: 2021, volume: 9, pages: 134174-134191), Publisher: IEEE
    Status:
    Published
    DOI:
    10.1109/ACCESS.2021.3114767 – link to the publication

  18. Globally asymptotic stability and synchronization analysis of uncertain multi-agent systems with multiple time-varying delays and impulses

    Authors:
    Stephen Arockia Samy, Yang Cao, Raja Ramachandran, Jehad Alzabut, Michał Niezabitowski, Chee Peng Lim
    Academic press:
    International Journal of Robust and Nonlinear Control (year: 2021, volume: 32(2), pages: 737-773), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/rnc.5851 – link to the publication

  19. Uniform global asymptotic stabilization of semi-linear periodic discrete-time systems

    Authors:
    Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova, Vasilii Zaitsev
    Status:
    Accepted for publication

  20. 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
    Status:
    Accepted for publication

Articles in post-conference publications (9)

  1. Exponential stabilization of discrete nonlinear time-varying systems

    Authors:
    Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova, Vasilii Zaitsev
    Conference:
    21st IFAC World Congress, Berlin, Niemcy (year: 2020, pages: 4744-4749), Publisher: IFAC
    Date:
    conference 12-17.07.2020
    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) (year: 2019, pages: 133-147), Publisher: Springer
    Date:
    conference 21-25.05.2018
    Status:
    Published

  3. 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) (year: 2019, pages: 13-17), Publisher: IEEE
    Date:
    conference 26-29.08.2019
    Status:
    Published

  4. 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 (year: 2019, pages: 60-61), Publisher: IDCDE
    Date:
    conference 14-17.05.2019
    Status:
    Published

  5. Sufficient conditions for global asymptotic stabilization of semilinear discrete-time systems with periodic coefficients

    Authors:
    Adam Czornik, Michał Niezabitowski, Evgenii Makarov, Svetlana Popova, Vasilii Zaitsev
    Conference:
    Control Theory and Mathematical Modeling, Iżewsk, Rosja (year: 2020, pages: 147-149), Publisher: CTMM
    Date:
    conference 15-19.06.2020
    Status:
    Published

  6. Uniform asymptotic stabilization of affine periodic discrete-time systems

    Authors:
    Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova, Vasilii Zaitsev
    Conference:
    59th IEEE Conference on Decision and Control (CDC), Czedżu, Korea Południowa (year: 2020, pages: 4646-4652), Publisher: IEEE
    Date:
    conference 14-18.12.2020
    Status:
    Published

  7. 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 (year: 2019, pages: 59-60), Publisher: IDCDE
    Date:
    conference 14-17.05.2019
    Status:
    Published

  8. 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 (year: 2019, pages: 624-636), Publisher: Springer
    Date:
    conference 08-11.04.2019
    Status:
    Published

  9. Controllability of switched discrete-time fractional order systems with constrained switching sequence

    Authors:
    Artur Babiarz, Adam Czornik
    Conference:
    24th International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2019, pages: 191-195), Publisher: IEEE
    Date:
    conference 26-29.08.2019
    Status:
    Published

Book publications / chapters in book publications (2)

  1. Controllability and stability of semilinear fractional order systems

    Authors:
    Jerzy Klamka, Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Book:
    Automatic Control, Robotics, and Information Processing (year: 2021, volume: 296, pages: 267-290), Publisher: Springer
    Status:
    Published

  2. Sterowalność i stabilność układów semiliniowych ułamkowego rzędu

    Authors:
    Jerzy Klamka, Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Book:
    Automatyka, robotyka i przetwarzanie informacji (year: 2020, volume: 1, pages: 239-259), Publisher: Wydawnictwo Naukowe PWN
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski