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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Analysis and synthesis of selected class of linear and nonlinear fractional order systems

2017/27/B/ST7/02443

Keywords:

fractional order systems linear nonlinear Lie algebra uncertain parameters

Descriptors:

  • ST7_1: Control engineering in automation and robotics
  • ST7_3: Simulation engineering and modelling
  • ST7_4: Micro- and nanosystems engineering

Panel:

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

Host institution :

Politechnika Białostocka, Wydział Elektryczny

woj. podlaskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tadeusz Kaczorek 

Number of co-investigators in the project: 6

Call: OPUS 14 - announced on 2017-09-15

Amount awarded: 715 960 PLN

Project start date (Y-m-d): 2018-06-12

Project end date (Y-m-d): 2021-12-11

Project duration:: 42 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. Karta wyjść analogowych systemu PXI (11 000 PLN)
  2. Komputer stacjonarny z monitorem i drukarką (6 000 PLN)
  3. Oprogramowanie narzędziowe do akwizycji danych (10 000 PLN)
  4. Zestaw uruchomieniowy z procesorem 8 lub 32 bitowym oraz modułami wejść wyjść analogowych (5 000 PLN)
  5. Komputer przenośny (2 szt.) (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (25)
  • Articles in post-conference publications (9)
  • Book publications / chapters in book publications (12)
  1. Application of the Lagrange-Sylvester formula to computation of the solution to state equations of fractional linear systems
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2021, tom: 69, strony: 45296), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2021.136729 - link to the publication
  2. Global stability of nonlinear feedback systems with fractional positive linear parts
    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics & Computer Science (rok: 2022, tom: 30, strony: 493-499), Wydawca: University of Zielona Góra
    Status:
    Published
    DOI:
    10.34768/amcs-2020-0036 - link to the publication
  3. Stability of discrete-time fractional linear systems with delays
    Authors:
    Andrzej Ruszewski
    Academic press:
    Archives of Control Sciences (rok: 2019, tom: 29, strony: 549-567), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/acs.2019.130205 - link to the publication
  4. State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
    Authors:
    Kamil Borawski
    Academic press:
    Applied Sciences (rok: 2021, tom: 11, strony: 45311), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/app112210568 - link to the publication
  5. Analysis of the fractional descriptor discrete-time linear systems by the use of the shuffle algorithm
    Authors:
    Tadeusz Kaczorek, Andrzej Ruszewski
    Academic press:
    Journal of Computational Dynamics (rok: 2021, tom: 8, strony: 153-163), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/jcd.2021007 - link to the publication
  6. Global stability of discrete-time non-linear systems with descriptor standard and fractional positive linear parts and scalar feedbacks
    Authors:
    Tadeusz Kaczorek, Andrzej Ruszewski
    Academic press:
    Archives of Control Sciences (rok: 2020, tom: 30, strony: 667-681), Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
    Status:
    Published
    DOI:
    10.24425/acs.2020.135846 - link to the publication
  7. Invariant properties of positive linear electrical circuits
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Poznan University of Technology Academic Journals. Electrical Engineering (rok: 2019, tom: 97, strony: 106-123), Wydawca: Poznan University of Technology
    Status:
    Published
    DOI:
    10.21008/j.1897-0737.2019.97.0010 - link to the publication
  8. Positivity of Fractional Descriptor Linear Discrete–Time Systems
    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics & Computer Science (rok: 2019, tom: 29, strony: 305-310), Wydawca: University of Zielona Góra
    Status:
    Published
    DOI:
    10.2478/amcs-2019-0022 - link to the publication
  9. Time-Domain Analysis of Fractional Electrical Circuit Containing Two Ladder Elements
    Authors:
    Ewa Piotrowska, Krzysztof Rogowski
    Academic press:
    Electronics (rok: 2021, tom: 10, strony: 45304), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/electronics10040475 - link to the publication
  10. Analysis of an electrical circuit by the use of two-parameter Conformable Fractional Derivative operator in the Caputo sense
    Authors:
    Ewa Piotrowska, Łukasz Sajewski
    Academic press:
    Symmetry (rok: 2021, tom: 13, strony: 45302), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/sym13050771 - link to the publication
  11. Angles between matrices and between polynomials in fractional linear systems and electrical circuits
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Computational Problems of Electrical Engineering (rok: 2020, tom: 10, strony: 45301), Wydawca: Lviv Polytechnic National University
    Status:
    Published
    DOI:
    10.23939/jcpee - link to the publication
  12. Global stability of nonlinear feedback systems with positive linear parts
    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Nonlinear Sciences and Numerical Simulation (rok: 2019, tom: 20, strony: 575-579), Wydawca: Walter de Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/ijnsns-2018-0189 - link to the publication
  13. Practical and asymptotic stabilities for a class of delayed fractional discrete-time linear systems
    Authors:
    Andrzej Ruszewski
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2019, tom: 67, strony: 509-515), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpas.2019.128426 - link to the publication
  14. Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method
    Authors:
    Kamil Borawski
    Academic press:
    Symmetry (rok: 2020, tom: 12, strony: 45308), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/sym12060940 - link to the publication
  15. The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2019, tom: 67, strony: 989-993), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2019.130891 - link to the publication
  16. Global stability of nonlinear feedback systems with positive descriptor linear parts
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2019, tom: 67, strony: 45-51), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpas.2019.127337 - link to the publication
  17. Global stability of positive standard and fractional nonlinear feedback systems
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2020, tom: 68, strony: 285-288), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2020.133112 - link to the publication
  18. Positivity of fractional descriptor linear continuous-time systems
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2019, tom: 67, strony: 229-233), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpas.2019.128606 - link to the publication
  19. The pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2020, tom: 68, strony: 1513-1516), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2020.135376 - link to the publication
  20. General Response Formula for CFD Pseudo-Fractional 2D Continuous Linear Systems Described by the Roesser Model
    Authors:
    Krzysztof Rogowski
    Academic press:
    Symmetry (rok: 2020, tom: 12, strony: 45303), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/sym12121934 - link to the publication
  21. Global stability and exponential decay of processes in nonlinear feedback systems with different fractional orders
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Academic press:
    J (rok: 2021, tom: 4, strony: 328-340), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/j4030025 - link to the publication
  22. Global stability of fractional different orders nonlinear feedback systems with positive linear parts and interval state matrices
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2021, tom: 24, strony: 950-962), Wydawca: Walter de Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/fca-2021-0040 - link to the publication
  23. Invariant properties of positive linear electrical circuits
    Authors:
    Tadeusz Kaczorek
    Academic press:
    Archives of Electrical Engineering (rok: 2019, tom: 68, strony: 875-890), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/aee.2019.130689 - link to the publication
  24. Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Academic press:
    International Journal of Applied Mathematics & Computer Science (rok: 2020, tom: 30, strony: 641-647), Wydawca: University of Zielona Góra
    Status:
    Published
    DOI:
    10.34768/amcs-2020-0047 - link to the publication
  25. Positivity and cyclicity of descriptor electrical circuits with chain structure
    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Academic press:
    Bulletin of the Polish Academy of Sciences, Technical Sciences (rok: 2022, tom: 70, strony: 45298), Wydawca: Division IV Engineering Sciences of the Polish Academy of Sciences
    Status:
    Accepted for publication
    DOI:
    10.24425/bpasts.2021.139955 - link to the publication
  1. Global Stability of Positive Different Fractional Orders Nonlinear Feedback Systems
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Conference:
    The Fifth International Conference on Advances in Signal, Image and Video Processing: SIGNAL 2020 (rok: 2020, ), Wydawca: The International Academy, Research and Industry Association
    Data:
    konferencja 27 wrzesień - 01 pażdziernik 2020
    Status:
    Published
  2. Stability conditions for fractional discrete-time state-space systems with delays
    Authors:
    Andrzej Ruszewski
    Conference:
    24th International Conference on Methods and Models in Automation and Robotics, MMAR 2019 (rok: 2019, ), Wydawca: IEEE
    Data:
    konferencja 43703
    Status:
    Published
  3. Poles and zeros of standard and fractional positive stable linear systems
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Conference:
    24th International Conference on Methods and Models in Automation & Robotics: MMAR 2019 (rok: 2019, ), Wydawca: IEEE
    Data:
    konferencja 43703
    Status:
    Published
  4. Global Stability Of Fractional Positive Nonlinear Feedback Systems With Interval State Matrices
    Authors:
    Tadeusz Kaczorek
    Conference:
    34th International ECMS Conference on Modelling and Simulation: ECMS 2020 (rok: 2020, ), Wydawca: European Council for Modeling and Simulation
    Data:
    konferencja 9-12 czerwiec 2020
    Status:
    Published
  5. Determination of Parameters of Supercapacitors as Examples of Fractional-Order Elements
    Authors:
    Rafał Kociszewski
    Conference:
    15th International Conference: Mechatronic Systems and Materials: MSM 2020 (rok: 2020, ), Wydawca: IEEE
    Data:
    konferencja 44013
    Status:
    Published
  6. Positivity and stability of standard and descriptor linear systems of integer and fractional orders with interval state matrices
    Authors:
    Tadeusz Kaczorek
    Conference:
    Simulation (rok: 2018, ), Wydawca: The Georgy Pukhov Institute for Energy Modelling of NASc of Ukraine
    Data:
    konferencja 43355
    Status:
    Published
  7. Stability and angles between state matrices of positive linear systems
    Authors:
    Tadeusz Kaczorek
    Conference:
    24th International Conference on Methods and Models in Automation & Robotics: MMAR 2019 (rok: 2019, ), Wydawca: IEEE
    Data:
    konferencja 43703
    Status:
    Published
  8. Application of the shuffle algorithm to analysis of the fractional descriptor continuous-time linear systems
    Authors:
    Tadeusz Kaczorek
    Conference:
    25th International Conference on Methods and Models in Automation and Robotics: MMAR 2021 (rok: 2021, ), Wydawca: IEEE
    Data:
    konferencja 44431
    Status:
    Published
  9. Invariant subspaces of fractional linear continuous-time systems
    Authors:
    Taduesz Kaczorek
    Conference:
    XXVI Konferencja Naukowo-Techniczna Automation 2022 Automatyzacja — Nowości i Perspektywy (rok: 2022, ), Wydawca: PIAP
    Data:
    konferencja 44706
    Status:
    Submitted
  1. Descriptor Systems of Integer and Fractional Orders
    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Book:
    Studies in Systems, Decision and Control (rok: 2021, tom: 367, strony: 1-252), Wydawca: Springer
    Status:
    Published
  2. Normal Fractional Positive Linear Systems and Electrical Circuits
    Authors:
    Tadeusz Kaczorek
    Book:
    Automation 2019. Advances in Intelligent Systems and Computing (rok: 2020, tom: 920, strony: 13-26), Wydawca: Springer
    Status:
    Published
  3. Some specific properties of positive standard and fractional interval systems
    Authors:
    Kaczorek Tadeusz, Sajewski Łukasz
    Book:
    Fractional Dynamical Systems: Methods, Algorithms and Applications. Studies in Systems, Decision and Control (rok: 2022, tom: 402, strony: 252-269), Wydawca: Springer
    Status:
    Published
  4. Linearization of Fractional Nonlinear Systems by State-Feedbacks
    Authors:
    Tadeusz Kaczorek
    Book:
    Automation 2020. Advances in Intelligent Systems and Computing (rok: 2020, tom: 1140, strony: 45-56), Wydawca: Springer
    Status:
    Published
  5. Minimum Energy Control and Reachability of Continuous-Time Linear Systems with Rectangular Inputs
    Authors:
    Krzysztof Rogowski
    Book:
    Automation 2019. Advances in Intelligent Systems and Computing (rok: 2020, tom: 920, strony: 208-217), Wydawca: Springer
    Status:
    Published
  6. Extensions of Kharitonov Theorem to Positive Fractional Linear Systems
    Authors:
    Tadeusz Kaczorek
    Book:
    Advances in Non-Integer Order Calculus and Its Applications, Lecture Notes in Electrical Engineering (rok: 2020, tom: 559, strony: 45370), Wydawca: Springer
    Status:
    Published
  7. Positive Linear Control Systems
    Authors:
    Tadeusz Kaczorek
    Book:
    Studies in Systems, Decision and Control (rok: 2021, tom: 296, strony: 229-266), Wydawca: Springer
    Status:
    Published
  8. Global Stability of Nonlinear Fractional Dynamical Systems
    Authors:
    Tadeusz Kaczorek
    Book:
    Fractional Dynamical Systems: Methods, Algorithms and Applications. Studies in Systems, Decision and Control (rok: 2022, tom: 402, strony: 276-306), Wydawca: Springer
    Status:
    Published
  9. Global Stability of Positive Discrete-Time Standard and Fractional Nonlinear Systems with Scalar Feedbacks
    Authors:
    Tadeusz Kaczorek, Andrzej Ruszewski
    Book:
    Advances in Intelligent Systems and Computing (rok: 2020, tom: 1196, strony: 1167-1175), Wydawca: Springer
    Status:
    Published
  10. New Sufficient Conditions of Global Stability of Nonlinear Positive Electrical Circuits
    Authors:
    Tadeusz Kaczorek
    Book:
    AUTOMATION 2021. Advances in Intelligent Systems and Computing (rok: 2021, tom: 1390, strony: 45360), Wydawca: Springer
    Status:
    Published
  11. Stability analysis for a class of fractional discrete-time linear scalar systems with multiple delays in state
    Authors:
    Andrzej Ruszewski
    Book:
    Advances in Non-Integer Order Calculus and Its Applications. Lecture Notes in Electrical Engineering (rok: 2020, tom: 559, strony: 201-212), Wydawca: Springer
    Status:
    Published
  12. Transfer Matrices with Positive Coefficients of Positive Descriptor Continuous-Time Linear Systems
    Authors:
    Tadeusz Kaczorek, Łukasz Sajewski
    Book:
    Automation 2019. Advances in Intelligent Systems and Computing (rok: 2020, tom: 920, strony: 86-94), Wydawca: Springer
    Status:
    Published

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