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Descriptor nonlinear and linear systems of fractional orders

2014/13/B/ST7/03467

Keywords

Descriptors

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

Panel

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

Host institution

POLITECHNIKA BIAŁOSTOCKA, Wydział Elektryczny

Voivodeship: 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 7 – announced on 2014-03-17

Amount awarded
525 940 PLN
Project start date
2015-02-04
Project end date
2018-04-03
Project duration
38 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputer przenośny. Cost: 10 000 PLN
  2. Komputer stacjonarny z monitorem. Cost: 4 000 PLN

Information in the final report

Publication in academic press/journals (37)

  1. Analysis of positivity and stability of fractional discrete-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences Technical Sciences (year: 2016, volume: 64, pages: 491-494), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2016-0054 – link to the publication

  2. Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2016, volume: 26, pages: 277-283), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.1515/amcs-2016-0019 – link to the publication

  3. An extension of Klamka's method to positive descriptor discrete-time linear systems with bounded inputs

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Archives of Control Sciences (year: 2018, volume: 28, pages: 255-268), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.24425/123459 – link to the publication

  4. Characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Acta Mechanica et Automatica (year: 2018, volume: 12, pages: 209-216), Publisher: Faculty of Mechanica Engineering Bialystok University of Technology
    Status:
    Published
    DOI:
    10.2478/ama-2018-0032 – link to the publication

  5. Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Fractional Calculus and Applied Analysis (year: 2016, volume: 19, pages: 775-784), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/fca-2016-0041 – link to the publication

  6. Punktowa zupełność oraz punktowa degeneracja wybranej klasy układów dyskretnych singularnych niecałkowitego rzędu

    Authors:
    Rafał Kociszewski
    Academic press:
    Pomiary Automatyka Robotyka (year: 2016, volume: 4, pages: 46150), Publisher: Przemysłowy Instytut Automatyki i Pomiarów PIAP
    Status:
    Published
    DOI:
    10.14313/PAR_222/5 – link to the publication

  7. Synteza obserwatora pełnego rzędu singularnych układów dyskretnych niecałkowitego rzędu

    Authors:
    Rafał Kociszewski
    Academic press:
    Pomiary Automatyka Robotyka (year: 2016, volume: 4, pages: 46278), Publisher: Przemysłowy Instytut Automatyki i Pomiarów PIAP
    Status:
    Published
    DOI:
    10.14313/PAR_222/9 – link to the publication

  8. Minimum energy control of descriptor fractional discrete-time linear system with two different fractional orders

    Authors:
    Łukasz Sajewski
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2017, volume: 27, pages: 33-41), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.1515/amcs-2017-0003 – link to the publication

  9. Descriptor fractional discrete-time linear system with two different fractional orders and its solution

    Authors:
    Łukasz Sajewski
    Academic press:
    Bulletin of the Polish Academy of Sciences Technical Sciences (year: 2016, volume: 64, pages: 15-20), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2016-0003 – link to the publication

  10. Practical and asymptotic stability of fractional discrete-time scalar systems described by the new model

    Authors:
    Andrzej Ruszewski
    Academic press:
    Archives of Control Sciences (year: 2016, volume: 26, pages: 441-452), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/acsc-2016-0024 – link to the publication

  11. Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

    Authors:
    Łukasz Sajewski
    Academic press:
    Bulletin of the Polish Academy of Sciences Technical Sciences (year: 2017, volume: 65, pages: 709-714), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2017-0076 – link to the publication

  12. Responses of standard and fractional linear systems and electrical circuits with derivatives of their inputs

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Przegląd Elektrotechniczny (year: 2017, volume: 93, pages: 132-136), Publisher: SIGMA-NOT
    Status:
    Published
    DOI:
    10.15199/48.2017.06.30 – link to the publication

  13. Minimum energy control of fractional descriptor discrete-time linear systems with bounded inputs by the use of Drazin inverse

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Asian Journal of Control (year: 2017, volume: 19, pages: 2211-2218), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/asjc.1510 – link to the publication

  14. Eigenvalue assignment in fractional descriptor discrete-time linear systems

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Academic press:
    Archives of Control Sciences (year: 2017, volume: 27, pages: 119-128), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/acsc-2017-0007 – link to the publication

  15. Superstabilization of positive linear electrical circuit by state-feedbacks

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of The Polish Academy of Sciences-Technical Sciences (year: 2017, volume: 65, pages: 703-708), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2017-0075 – link to the publication

  16. Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2017, volume: 27, pages: 245-251), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.1515/amcs-2017-0017 – link to the publication

  17. Modification of the stability and positivity of standard and descriptor linear electrical circuits by state feedbacks

    Authors:
    Kamil Borawski
    Academic press:
    Przegląd Elektrotechniczny (year: 2017, volume: 93, pages: 176-180), Publisher: SIGMA-NOT
    Status:
    Published
    DOI:
    10.15199/48.2017.11.36 – link to the publication

  18. Drazin inverse matrix method for fractional descriptor discrete-time linear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences Technical Sciences (year: 2016, volume: 64, pages: 395-399), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2016-0044 – link to the publication

  19. Analysis and comparison of the stability of discrete-time and continuous-time linear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Archives of Control Sciences (year: 2016, volume: 26, pages: 551-563), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/acsc-2016-0030 – link to the publication

  20. Minimum energy control of descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Academic press:
    Archives of Control Sciences (year: 2016, volume: 26, pages: 177–187), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/acsc-2016-0010 – link to the publication

  21. Reachability of standard and fractional continuous-time systems with constant inputs

    Authors:
    Krzysztof Rogowski
    Academic press:
    Archives of Control Sciences (year: 2016, volume: 26, pages: 147-159), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/acsc-2016-0008 – link to the publication

  22. Stability of continuous-time and discrete-time linear systems with inverse state matrices

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Academic press:
    Measurement Automation Monitoring (year: 2016, volume: 62, pages: 132-135), Publisher: Sekcja Metrologii Stowarzyszenia Inżynierów i Techników Mechaników Polskich
    Status:
    Published

  23. Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2016, volume: 26, pages: 533–541), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.1515/amcs-2016-0037 – link to the publication

  24. Stability of interval positive continuous-time linear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences Technical Sciences (year: 2018, volume: 66, pages: 31-35), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.24425/119056 – link to the publication

  25. Reachability and observability of positive discrete-timelinear systems with integer positive and negative powers of the state Frobenius matrices

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Archives of Control Sciences (year: 2018, volume: 28, pages: 119-133), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.24425/119080 – link to the publication

  26. Perfect nonlinear observers of descriptor discrete-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Autobusy : technika, eksploatacja, systemy transportowe (year: 2017, volume: 18, pages: 933-936), Publisher: Instytut Naukowo-Wydawniczy SPATIUM. sp. z o.o.
    Status:
    Published

  27. Stability of fractional positive continuous-time linear systems with state matrices in integer and rational powers

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of The Polish Academy of Sciences-Technical Sciences (year: 2017, volume: 65, pages: 305-311), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2017-0034 – link to the publication

  28. Characteristic equations of the standard and descriptor linear electrical circuits

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Poznan University of Technology Academic Journals. Electrical Engineering (year: 2017, volume: 89, pages: 46349), Publisher: Politechnika Poznańska Wydział Elektryczny, Instytut Elektrotechniki i Elektroniki Przemysłowej
    Status:
    Published
    DOI:
    10.21008/j.1897-0737.2017.89.0001 – link to the publication

  29. Positivity and stability of discrete-time and continuous-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Przegląd Elektrotechniczny (year: 2015, volume: 8, pages: 127-130), Publisher: SIGMA-NOT
    Status:
    Published
    DOI:
    10.15199/48.2015.08.30 – link to the publication

  30. Positivity and Stability of Standard and Fractional Descriptor Continuous-Time Linear and Nonlinear Systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Nonlinear Sciences and Numerical Simulation (year: 2018, volume: 19, pages: 299–307), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/ijnsns-2017-0049 – link to the publication

  31. Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability

    Authors:
    Tadeusz Kaczorek
    Academic press:
    TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation (year: 2015, volume: 9, pages: 83-89), Publisher: Wydział Nawigacyjny Akademii Morskiej w Gdyni
    Status:
    Published
    DOI:
    10.12716/1001.09.01.10 – link to the publication

  32. Stability of fractional positive nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Archives of Control Sciences (year: 2015, volume: 25, pages: 491-496), Publisher: De Gruyter GmbH
    Status:
    Published
    DOI:
    10.1515/acsc-2015-0031 – link to the publication

  33. Positivity of a class of fractional descriptor continuous-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of the Polish Academy of Sciences Technical Sciences (year: 2015, volume: 63, pages: 561-565), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.1515/bpasts-2015-0065 – link to the publication

  34. Analysis of positive linear continuous–time systems using the conformable derivative

    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2018, volume: 28, pages: 335–340), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.2478/amcs-2018-0024 – link to the publication

  35. Responses of positive standard and fractional linear systems and electrical circuits with derivatives of their inputs

    Authors:
    Tadeusz Kaczorek
    Academic press:
    Bulletin of The Polish Academy of Sciences-Technical Sciences (year: 2018, volume: 66, pages: 419-426), Publisher: Wydział IV Nauk Technicznych PAN
    Status:
    Published
    DOI:
    10.24425/124257 – link to the publication

  36. Positivity and stability of fractional descriptor time-varying discrete-time linear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2016, volume: 26, pages: 46155), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.1515/amcs-2016-0001 – link to the publication

  37. Decentralized stabilization of fractional positive descriptor continuous-time linear systems

    Authors:
    Tadeusz Kaczorek
    Academic press:
    International Journal of Applied Mathematics and Computer Science (year: 2018, volume: 28, pages: 135-140), Publisher: Uniwersytet w Zielonej Górze, Instytut Sterowania i Systemów Informatycznych
    Status:
    Published
    DOI:
    10.2478/amcs-2018-0010 – link to the publication

Articles in post-conference publications (24)

  1. Positivity and stability of discrete-time nonlinear systems

    Authors:
    Tadusz Kaczorek
    Conference:
    IEEE 2nd International Conference on Cybernetics CYBCONF (year: 2015, pages: 156-159), Publisher: IEEE
    Date:
    conference 24-26 czerwiec
    Status:
    Published

  2. Analysis of positivity and stability of discrete-time and continuous-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    16th International Conference Computational Problems of Electrical Engineering CPEE (year: 2015, pages: 46342), Publisher: IEEE
    Date:
    conference 2-5 wrzesień
    Status:
    Published

  3. Analysis of the positivity and stability of fractional discrete-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    5th International Symposium on Positive Systems POSTA (year: 2016, pages: 113-122), Publisher: POSTA
    Date:
    conference 14-16 wrzesień
    Status:
    Published

  4. Extension of the Cayley-Hamilton theorem to fractional descriptor linear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics MMAR (year: 2016, pages: 838-843), Publisher: IEEE
    Date:
    conference 29 sierpień - 1 wrzesień
    Status:
    Published

  5. Analysis of the positivity of fractional standard and descriptor continuous-time linear systems by the use of Caputo-Fabrizio definition

    Authors:
    Tedeusz Kaczorek
    Conference:
    XXXVIII-th IEEE-SPIE Joint Symposium, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments (year: 2016, pages: 46039), Publisher: SPIE
    Date:
    conference 29 maj - 6 czerwiec
    Status:
    Published

  6. Positivity and linearization of a class of nonlinear fractional continuous-time systems by state-feedbacks

    Authors:
    Tadeusz Kaczorek
    Conference:
    International Conference on Systems, Control, Signal Processing and Informatics SCSI (year: 2015, pages: 31-34), Publisher: Inase
    Date:
    conference 7-9 kwiecień
    Status:
    Published

  7. Positive fractional nonlinear systems and their stability

    Authors:
    Tadeusz Kaczorek
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics MMAR (year: 2015, pages: 306-308), Publisher: IEEE
    Date:
    conference 24-27 sierpień
    Status:
    Published

  8. Positivity and linearization of a class of fractional discrete-time systems by nonlinear state-feedbacks

    Authors:
    Tadeusz Kaczorek
    Conference:
    6th International Conference on Modeling, Simulation and Applied Optimization ICMSAO (year: 2015, pages: 46026), Publisher: IEEE
    Date:
    conference 27-29 maj
    Status:
    Published

  9. Reachability of fractional continuous-time linear systems using the Caputo-Fabrizio derivative

    Authors:
    Tadeusz Kaczorek
    Conference:
    30th European Conference on Modelling and Simulation ECMS (year: 2016, pages: 46028), Publisher: Springer
    Date:
    conference 31 maj - 3 czerwiec
    Status:
    Published

  10. Positivity and stability of a class of fractional descriptor continuous-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    54th IEEE Conference on Decision and Control CDC (year: 2015, pages: 3098-3103), Publisher: IEEE
    Date:
    conference 15-18 grudzień
    Status:
    Published

  11. Decomposition and application of Jordan form to controllability test of positive fractional discrete-time systems with delay in state vector

    Authors:
    Rafał Kociszewski
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics MMAR (year: 2017, pages: 564-569), Publisher: IEEE
    Date:
    conference 28-31 sierpień
    Status:
    Published

  12. Stability of interval positive fractional continuous-time linear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    European Conference on Electrical Engineering & Computer Science EECS (year: 2017, pages: 46026), Publisher: CPS
    Date:
    conference 17-19 listopad
    Status:
    Published

  13. Existence of reachable pairs (A, B) of discrete-time linear systems

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics MMAR (year: 2016, pages: 702 - 707), Publisher: IEEE
    Date:
    conference 29 sierpień - 1 wrzesień
    Status:
    Published

  14. Responses of standard and fractional linear systems with derivatives of their inputs

    Authors:
    Tadeusz Kaczorek
    Conference:
    XX Międzynarodowa Konferencja Komputerowe Systemy Wspomagania Nauki, Przemysłu i Transportu TransComp (year: 2016, pages: 106-110), Publisher: Uniwersytet Technologiczno-Humanistyczny im. Kazimierza Pułaskiego w Radomiu, Wydział Transportu i Elektrotechniki
    Date:
    conference 5-8 grudzień
    Status:
    Published

  15. Decentralized stabilization of descriptor fractional positive continuous-time linear systems with delays

    Authors:
    Łukasz Sajewski
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics MMAR (year: 2017, pages: 482-487), Publisher: IEEE
    Date:
    conference 28-31 sierpień
    Status:
    Published

  16. Fractional positive and stable time-varying continuous-time linear electrical circuits

    Authors:
    Tadeusz Kaczorek
    Conference:
    29th European Modeling and Simulation Symposium EMSS (year: 2017, pages: 18-23), Publisher: CAL-TEK S.r.l.
    Date:
    conference 18-20 wrzesień
    Status:
    Published

  17. Stabilization of positive descriptor fractional continuous-time linear system with two different fractional orders by decentralized controller

    Authors:
    Łukasz Sajewski
    Conference:
    21st International Conference on System Theory, Control and Computing ICSTCC (year: 2017, pages: 832-837), Publisher: IEEE
    Date:
    conference 19-21 październik
    Status:
    Published

  18. Stability of Positive Nonlinear Systems

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics MMAR (year: 2017, pages: 564-569), Publisher: IEEE
    Date:
    conference 28-31 sierpień
    Status:
    Published

  19. Characteristic Equations for Descriptor Linear Electrical Circuits

    Authors:
    Kamil Borawski
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics MMAR (year: 2017, pages: 921-926), Publisher: IEEE
    Date:
    conference 28-31 sierpień
    Status:
    Published

  20. Solution to the fractional-order 2D continuous systems described by the second Fornasini-Marchesini model

    Authors:
    Krzysztof Rogowski
    Conference:
    20th World Congress of the International Federation of Automatic Control (year: 2017, pages: 9748-9752), Publisher: IFAC
    Date:
    conference 9-14 lipiec
    Status:
    Published

  21. Robust stability conditions of fractional order discrete-time linear systems

    Authors:
    Andrzej Ruszewski
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics MMAR (year: 2017, pages: 543-547), Publisher: IEEE
    Date:
    conference 28-31 sierpień
    Status:
    Published

  22. Stability of fractional positive continuous-time and discrete-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    9th European Nonlinear Dynamics Conference ENOC (year: 2017, pages: 160-167), Publisher: Congressline Ltd.,
    Date:
    conference 25-30 czerwiec
    Status:
    Published

  23. Decentralized stabilization of positive descriptor continuous-time linear systems

    Authors:
    Tadeusz Kaczorek
    Conference:
    21st International Conference on System Theory, Control and Computing ICSTCC (year: 2017, pages: 822-826), Publisher: IEEE
    Date:
    conference 19-21 październik
    Status:
    Published

  24. Positivity analysis of continuous 2D Fornasini-Marchesini fractional model

    Authors:
    Krzysztof Rogowski
    Conference:
    5th International Symposium on Positive Systems POSTA (year: 2016, pages: 201-211), Publisher: POSTA
    Date:
    conference 14-16 wrzesień
    Status:
    Published

Book publications / chapters in book publications (22)

  1. Duality Principle for Positive Discrete-Time Fractional Systems with State Delay

    Authors:
    Rafał Kociszewski
    Book:
    Automation 2018 (Advances in Intelligent Systems and Computing) (year: 2018, volume: 743, pages: 213-222), Publisher: Springer
    Status:
    Published

  2. Output controllability problem of fractional discrete-time systems with multiple delays in state and control vector

    Authors:
    Rafał Kociszewski
    Book:
    Automation 2018 (Advances in Intelligent Systems and Computing) (year: 2018, volume: 743, pages: 203-212), Publisher: Springer
    Status:
    Published

  3. Stability conditions for the new model of fractional discrete-time linear scalar systems with one delay

    Authors:
    Andrzej Ruszewski
    Book:
    Automation 2018 (Advances in Intelligent Systems and Computing) (year: 2018, volume: 743, pages: 370-379), Publisher: Springer
    Status:
    Published

  4. Stability Analysis for the New Model of Fractional Discrete-Time Linear State-Space Systems

    Authors:
    Andrzej Ruszewski
    Book:
    Theory and Applications of Non-integer Order Systems (Lecture Notes in Electrical Engineering) (year: 2017, volume: 407, pages: 381-389), Publisher: Springer
    Status:
    Published

  5. Decentralized stabilization of fractional positive descriptor discrete-time linear systems

    Authors:
    Tadeusz Kaczorek
    Book:
    Non-Integer Order Calculus and its Applications (Lecture Notes in Electrical Engineering) (year: 2019, volume: 496, pages: 46094), Publisher: Springer
    Status:
    Published

  6. Descriptor fractional continuous-time linear system and its solution – comparison of three different method

    Authors:
    Łukasz Sajewski
    Book:
    Automation 2017 (Advances in Intelligent Systems and Computing) (year: 2017, volume: 550, pages: 54-57), Publisher: Springer
    Status:
    Published

  7. Robust stability of a class of an uncertain fractional discrete-time linear state-space system

    Authors:
    Andrzej Ruszewski
    Book:
    Automation 2017 (Advances in Intelligent Systems and Computing) (year: 2017, volume: 550, pages: 195-203), Publisher: Springer
    Status:
    Published

  8. Decentralized stabilization of descriptor fractional positive discrete-time linear systems with delays

    Authors:
    Łukasz Sajewski
    Book:
    Automation 2018 (Advances in Intelligent Systems and Computing) (year: 2018, volume: 743, pages: 276-287), Publisher: Springer
    Status:
    Published

  9. Reachability and Observability of the Fractional Linear Systems with State and Output Feedbacks

    Authors:
    Tadeusz Kaczorek
    Book:
    Automation 2018 (Advances in Intelligent Systems and Computing) (year: 2018, volume: 743, pages: 116-131), Publisher: Springer
    Status:
    Published

  10. Cayley-Hamilton theorem for fractional linear systems

    Authors:
    Tadeusz Kaczorek
    Book:
    Theory and Applications of Non-integer Order Systems (Lecture Notes in Electrical Engineering) (year: 2017, volume: 407, pages: 45-55), Publisher: Springer
    Status:
    Published

  11. Comparison of two different methods of observer synthesis for descriptor discrete-time linear systems

    Authors:
    Kamil Borawski
    Book:
    Automation 2017 (Advances in Intelligent Systems and Computing) (year: 2017, volume: 550, pages: 151-164), Publisher: Springer
    Status:
    Published

  12. Relationships between the reachability of positive standard and fractional discret-time and continuous-time linear systems

    Authors:
    Tadeusz Kaczorek
    Book:
    Trends in Advanced Intelligent Control, Optimization and Automation (Advances in Intelligent Systems and Computing) (year: 2017, volume: 577, pages: 401-414), Publisher: Springer
    Status:
    Published

  13. Analysis of fractional electrical circuit using Caputo and Conformable Derivative Definitions

    Authors:
    Ewa Piotrowska, Krzysztof Rogowski
    Book:
    Non-Integer Order Calculus and its Applications (Lecture Notes in Electrical Engineering) (year: 2019, volume: 496, pages: 183-194), Publisher: Springer
    Status:
    Published

  14. Descriptor positive nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Book:
    Automation 2017 (Advances in Intelligent Systems and Computing) (year: 2017, volume: 550, pages: 34-44), Publisher: Springer
    Status:
    Published

  15. Existence of system matrices with given spectra of positive stable discrete-time linear systems

    Authors:
    Tadeusz Kaczorek, Kamil Borawski
    Book:
    Challenges in Automation, Robotics and Measurement Techniques (Advances in Intelligent Systems and Computing) (year: 2016, volume: 440, pages: 155-163), Publisher: Springer
    Status:
    Published

  16. Descriptor fractional discrete-time linear system and its solution – comparison of three different methods

    Authors:
    Łukasz Sajewski
    Book:
    Challenges in Automation, Robotics and Measurement Techniques (Advances in Intelligent Systems and Computing) (year: 2016, volume: 440, pages: 37-50), Publisher: Springer
    Status:
    Published

  17. Reachability of standard and fractional continuous-time systems with piecewise constant inputs

    Authors:
    Krzysztof Rogowski
    Book:
    Challenges in Automation, Robotics and Measurement Techniques (Advances in Intelligent Systems and Computing) (year: 2016, volume: 440, pages: 341-349), Publisher: Springer
    Status:
    Published

  18. Existence of Metzler Matrices with Given Spectra of Positive Stable Linear Systems and Electrical Circuits

    Authors:
    Tadeusz Kaczorek
    Book:
    Challenges in Automation, Robotics and Measurement Techniques (Advances in Intelligent Systems and Computing) (year: 2016, volume: 440, pages: 141-154), Publisher: Springer
    Status:
    Published

  19. Analysis of the Positivity of Descriptor Continuous-Time Linear Systems by the Use of Drazin Inverse Matrix Method

    Authors:
    Kamil Borawski
    Book:
    Automation 2018 (Advances in Intelligent Systems and Computing) (year: 2018, volume: 743, pages: 172-182), Publisher: Springer
    Status:
    Published

  20. State vector estimation in descriptor electrical circuits using the shuffle algorithm

    Authors:
    Kamil Borawski
    Book:
    Trends in Advanced Intelligent Control, Optimization and Automation (Advances in Intelligent Systems and Computing) (year: 2017, volume: 577, pages: 118-127), Publisher: Springer
    Status:
    Published

  21. Stability analysis of fractional discrete-time linear scalar systems with pure delay

    Authors:
    Andrzej Ruszewski
    Book:
    Non-Integer Order Calculus and its Applications (Lecture Notes in Electrical Engineering) (year: 2019, volume: 496, pages: 84-91), Publisher: Springer
    Status:
    Published

  22. Positivity and stability of a class of fractional descriptor discrete-time nonlinear systems

    Authors:
    Tadeusz Kaczorek
    Book:
    Theoretical Developments and Applications of Non-Integer Order Systems (Lecture Notes in Electrical Engineering) (year: 2015, volume: 357, pages: 143-155), Publisher: Springer
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski