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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Properties of h-difference control systems of fractional orders

2011/03/B/ST7/03476

Keywords:

linear control system nonlinear control system fractional system vability controllability observability observer

Descriptors:

  • ST7_12:
  • ST7_1:

Panel:

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

Host institution :

Politechnika Białostocka

woj. podlaskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Ewa Pawłuszewicz 

Number of co-investigators in the project: 4

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 366 950 PLN

Project start date (Y-m-d): 2012-08-30

Project end date (Y-m-d): 2015-08-29

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Maple multiuser network non-floating 4 users (15 250 PLN)
  2. laptop z opragramowaniem (2 szt.) (7 000 PLN)
  3. drukarka laserowa Brother 9055 CDN.

Information in the final report

  • Publication in academic press/journals (22)
  • Articles in post-conference publications (22)
  • Book publications / chapters in book publications (15)
  1. Semi-linear fractional systems with Caputo type multi-step differences
    Authors:
    E. Girejko, D. Mozyrska
    Academic press:
    Carpathin Journal of Mathematics (rok: 2014, tom: 30(2), strony: 187-195), Wydawca: North University of Baia Mare, Rumunia
    Status:
    Published
  2. On Solutions to Fractional Discrete Systems with Sequential h-Differences
    Authors:
    M. Wyrwas, D. Mozyrska, E. Girejko
    Academic press:
    Abstract and Applied Analysis (rok: 2013, tom: article 475350, strony: 45668), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2013/475350 - link to the publication
  3. Stability of nonlinear h-difference systems with n fractional orders
    Authors:
    M. Wyrwas, E. Pawłuszewicz, E. Girejko
    Academic press:
    Kybernetika (rok: 2015, tom: 51, strony: 112-136), Wydawca: Institute of Information Theory and Automation of Academy of Sciences of the Czech Republic
    Status:
    Published
    DOI:
    10.14736/kyb-2015-1-0112 - link to the publication
  4. The h-difference approach to controllability and observability of fractional linear systems with Caputo type operator
    Authors:
    D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Academic press:
    Asian Journal of Control (rok: 2015, tom: 17(4), strony: 1163-1173), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/asjc.1034 - link to the publication
  5. Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearization
    Authors:
    D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Academic press:
    International Journal of Systems Sciences (rok: 2014, tom: -, strony: 45669), Wydawca: TAYLOR & FRANCIS LTD
    Status:
    Published
    DOI:
    10.1080/00207721.2016.1216197 - link to the publication
  6. Constrained controllability of fractional $h$-difference fractional control systems with Caputo type operator
    Authors:
    E. Pawłuszewicz
    Academic press:
    Discrete Dynamics in Nature and Society (rok: 2015, tom: 2015, strony: 45664), Wydawca: HINDAWI
    Status:
    Published
    DOI:
    10.1155/2015/638420 - link to the publication
  7. Constrained controllability of fractional $h$-difference fractional control systems with Caputo type operator
    Authors:
    E. Pawłuszewicz
    Academic press:
    Discrete Dynamics in Nature and Society (rok: 2015, tom: 2015, strony: 45664), Wydawca: HINDAWI
    Status:
    Published
    DOI:
    10.1155/2015/638420 - link to the publication
  8. Cone solutions of multi-order fractional difference systems
    Authors:
    E. Girejko, D. Mozyrska
    Academic press:
    Control and Cybernetics (rok: 2013, tom: 42(2), strony: 419-429), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    brak - link to the publication
  9. The h-difference approach to controllability and observability of fractional linear systems with Caputo type operator
    Authors:
    D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Academic press:
    Asian Journal of Control (rok: 2015, tom: 17(4), strony: 1163-1173), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/asjc.1034 - link to the publication
  10. Stability by linear approximation and the relation between the stability of difference and differential fractional systems
    Authors:
    D.Mozyrska, M.Wyrwas
    Academic press:
    Mathematical Mathods in the Applied Sciences (rok: 2016, tom: -, strony: 45672), Wydawca: Willey & Sons
    Status:
    Published
    DOI:
    10.1002/mma.4287 - link to the publication
  11. Stability of nonlinear h-difference systems with n fractional orders
    Authors:
    M. Wyrwas, E. Pawłuszewicz, E. Girejko
    Academic press:
    Kybernetika (rok: 2015, tom: 51, strony: 112-136), Wydawca: Institute of Information Theory and Automation of Academy of Sciences of the Czech Republic
    Status:
    Published
    DOI:
    10.14736/kyb-2015-1-0112 - link to the publication
  12. Multiparameter Fractional Difference Linear Control Systems
    Authors:
    D. Mozyrska
    Academic press:
    Discrete Dynamics in Nature and Society (rok: 2014, tom: ID 183782, strony: 45665), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2014/183782 - link to the publication
  13. On Solutions to Fractional Discrete Systems with Sequential h-Differences
    Authors:
    M. Wyrwas, D. Mozyrska, E. Girejko
    Academic press:
    Abstract and Applied Analysis (rok: 2013, tom: article 475350, strony: 45668), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2013/475350 - link to the publication
  14. Local controllability of nonlinear discrete-time fractional order systems
    Authors:
    D. Mozyrska, E. Pawłuszewicz
    Academic press:
    Bulletin of the Polish Academy of Sciences. Technical Sciences (rok: 2013, tom: 61(1), strony: 251-256), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.2478/bpasts-2013-0024 - link to the publication
  15. Controllability of h-difference linear control systems with two fractional orders
    Authors:
    D. Mozyrska, E. Pawłuszewicz
    Academic press:
    International Journal of Systems Science (rok: 2013, tom: vol. 2013, strony: 45666), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00207721.2013.794907 - link to the publication
  16. Semi-linear fractional systems with Caputo type multi-step differences
    Authors:
    E. Girejko, D. Mozyrska
    Academic press:
    Carpathin Journal of Mathematics (rok: 2014, tom: 30(2), strony: 187-195), Wydawca: North University of Baia Mare, Rumunia
    Status:
    Published
    DOI:
    brak - link to the publication
  17. Cone solutions of multi-order fractional difference systems
    Authors:
    E. Girejko, D. Mozyrska
    Academic press:
    Control and Cybernetics (rok: 2013, tom: 42(2), strony: 419-429), Wydawca: Polish Academy of Sciences
    Status:
    Published
  18. Remarks on fractional discrete cone control systems with n-orders and its stability
    Authors:
    E.Girejko, E.Pawłuszewicz
    Academic press:
    Journal of Dynamics and Control Systems (rok: 2016, tom: -, strony: 45670), Wydawca: SPRINGER/PLENUM PUBLISHERS
    Status:
    Published
    DOI:
    10.1007/s10883-016-9315-x - link to the publication
  19. Perfect observers for fractional discrete-time linear systems
    Authors:
    E. Pawluszewicz
    Academic press:
    Kybernetika (rok: 2016, tom: 6(52), strony: 914-928), Wydawca: Institute of Information Theory and Automation of Academy of Sciences of the Czech Republic
    Status:
    Published
    DOI:
    10.14736/kyb-2016-6-0914 - link to the publication
  20. Controllability of h-difference linear control systems with two fractional orders
    Authors:
    D. Mozyrska, E. Pawłuszewicz
    Academic press:
    International Journal of Systems Science (rok: 2013, tom: vol. 2013, strony: 45666), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00207721.2013.794907 - link to the publication
  21. Local controllability of nonlinear discrete-time fractional order systems
    Authors:
    D. Mozyrska, E. Pawłuszewicz
    Academic press:
    Bulletin of the Polish Academy of Sciences. Technical Sciences (rok: 2013, tom: 61(1), strony: 251-256), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.2478/bpasts-2013-0024 - link to the publication
  22. Multiparameter Fractional Difference Linear Control Systems
    Authors:
    D. Mozyrska
    Academic press:
    Discrete Dynamics in Nature and Society (rok: 2014, tom: ID 183782, strony: 45665), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2014/183782 - link to the publication
  1. Local controllability of multi-term semi-linear control systems with the Caputo-type fractional difference operator
    Authors:
    E. Pawluszewicz, D. Mozyrska
    Conference:
    19th International Conference On Methods and Models in Automation and Robotics MMAR'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 2-5 wrzesień
    Status:
    Published
    DOI:
    link to the publication
  2. Stability of fractional h-differences systems with two orders
    Authors:
    E. Girejko, D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Conference:
    Progress on Difference Equations PODE'2013 (rok: 2013, ), Wydawca: Politechnika Białostocka
    Data:
    konferencja 21-27 lipiec
    Status:
    Published
    DOI:
    link to the publication
  3. Two types of controllability of h-difference linear systems with two fractional orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Conference:
    18th International Conference on Methods and Models in Automation and Robotics, (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26-29 sierpień
    Status:
    Published
    DOI:
    link to the publication
  4. Controlabillity and observability of h-difference linear systems with different fractional orders
    Authors:
    D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Conference:
    Progress on Difference Equations PODE'2013 (rok: 2013, ), Wydawca: Politechnika Białostocka
    Data:
    konferencja 21-27 lipiec
    Status:
    Published
    DOI:
    link to the publication
  5. Stability of discrete fractional-order nonlinear systems with the nabla Caputo difference
    Authors:
    M. Wyrwas, D. Mozyrska, E. Girejko
    Conference:
    6th Workshop on Fractional Differentiation and Its Applications Part of 2013 IFAC Joint Conference SSSC (rok: 2013, ), Wydawca: International Federation of Automatic Control
    Data:
    konferencja 4-6 luty
    Status:
    Published
  6. Stabilization of linear multi-parameter fractional difference control systems
    Authors:
    D. Mozyrska, M. Wyrwas, E. Pawłuszewicz
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics MMAR 2015 (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27 sierpień
    Status:
    Published
  7. Solutions of fractional linear difference systems with Caputo-type operator via transform method
    Authors:
    D. Mozyrska, M. Wyrwas
    Conference:
    International Conference on Fractional Differentiation and Its Applications ICFDA'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 czerwiec
    Status:
    Published
    DOI:
    link to the publication
  8. Solutions of fractional linear difference systems with Riemann-Liouville-type operator via transform method
    Authors:
    D. Mozyrska, M. Wyrwas
    Conference:
    International Conference on Fractional Differentiation and Its Applications ICFDA'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 czerwiec
    Status:
    Published
    DOI:
    link to the publication
  9. Opinion dynamics and fractional operators
    Authors:
    E. Girejko, D. Mozyrska
    Conference:
    International Conference on Fractional Differentiation and Its Applications ICFDA'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 czerwiec
    Status:
    Published
    DOI:
    link to the publication
  10. Controlabillity and observability of h-difference linear systems with different fractional orders
    Authors:
    D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Conference:
    Progress on Difference Equations PODE'2013 (rok: 2013, ), Wydawca: Politechnika Białostocka
    Data:
    konferencja 21-27 lipiec
    Status:
    Published
    DOI:
    link to the publication
  11. Local Controllability of Nonlinear Discrete-time Systems with n Fractional Orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Conference:
    The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (rok: 2014, ), Wydawca: American Institute of Mathematical Science (AMS)
    Data:
    konferencja 7-11 lipiec
    Status:
    Published
    DOI:
    link to the publication
  12. Remarks on observability of h-difference linear control systems with two fractional orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Conference:
    14th International Carpathian Control Conference ICCC'2013 (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26-29 maj
    Status:
    Published
    DOI:
    link to the publication
  13. Opinion dynamics and fractional operators
    Authors:
    E. Girejko, D. Mozyrska
    Conference:
    International Conference on Fractional Differentiation and Its Applications ICFDA'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 czerwiec
    Status:
    Published
    DOI:
    link to the publication
  14. Solutions of fractional linear difference systems with Caputo-type operator via transform method
    Authors:
    D. Mozyrska, M. Wyrwas
    Conference:
    International Conference on Fractional Differentiation and Its Applications ICFDA'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 czerwiec
    Status:
    Published
    DOI:
    link to the publication
  15. Solutions of fractional linear difference systems with Riemann-Liouville-type operator via transform method
    Authors:
    D. Mozyrska, M. Wyrwas
    Conference:
    International Conference on Fractional Differentiation and Its Applications ICFDA'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 czerwiec
    Status:
    Published
    DOI:
    link to the publication
  16. Remarks on observability of h-difference linear control systems with two fractional orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Conference:
    14th International Carpathian Control Conference ICCC'2013 (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26-29 maj
    Status:
    Published
    DOI:
    link to the publication
  17. Stability of discrete fractional-order nonlinear systems with the nabla Caputo difference
    Authors:
    M. Wyrwas, D. Mozyrska, E. Girejko
    Conference:
    6th Workshop on Fractional Differentiation and Its Applications Part of 2013 IFAC Joint Conference SSSC (rok: 2013, ), Wydawca: International Federation of Automatic Control
    Data:
    konferencja 4-6 luty
    Status:
    Published
  18. Local controllability of multi-term semi-linear control systems with the Caputo-type fractional difference operator
    Authors:
    E. Pawluszewicz, D. Mozyrska
    Conference:
    19th International Conference On Methods and Models in Automation and Robotics MMAR'2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 2-5 wrzesień
    Status:
    Published
    DOI:
    link to the publication
  19. Local Controllability of Nonlinear Discrete-time Systems with n Fractional Orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Conference:
    The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (rok: 2014, ), Wydawca: American Institute of Mathematical Science (AMS)
    Data:
    konferencja 7-11 lipiec
    Status:
    Published
    DOI:
    link to the publication
  20. Two types of controllability of h-difference linear systems with two fractional orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Conference:
    18th International Conference on Methods and Models in Automation and Robotics, (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26-29 sierpień
    Status:
    Published
    DOI:
    link to the publication
  21. Stability of fractional h-differences systems with two orders
    Authors:
    E. Girejko, D. Mozyrska, E. Pawłuszewicz, M. Wyrwas
    Conference:
    Progress on Difference Equations PODE'2013 (rok: 2013, ), Wydawca: Politechnika Białostocka
    Data:
    konferencja 21-27 lipiec
    Status:
    Published
    DOI:
    link to the publication
  22. Stabilization of linear multi-parameter fractional difference control systems
    Authors:
    D. Mozyrska, M. Wyrwas, E. Pawłuszewicz
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics MMAR 2015 (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27 sierpień
    Status:
    Published
  1. Comparison of h-difference fractional operators
    Authors:
    D. Mozyrska, E. Girejko, M. Wyrwas
    Book:
    Advances in the Thoery and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 191-200), Wydawca: Springer
    Status:
    Published
  2. On Mittang_Leffler stability of fractional order difference systems
    Authors:
    M. Wyrwas, D. Mozyrska
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems, Series Title: Lecture Notes in Electrical Engineering (rok: 2014, tom: vol. 320, strony: 209-220), Wydawca: Springer International Publishing
    Status:
    Published
  3. Comparison of h-difference fractional operators
    Authors:
    D. Mozyrska, E. Girejko, M. Wyrwas
    Book:
    Advances in the Thoery and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 191-200), Wydawca: Springer
    Status:
    Published
  4. Stability of fractional difference systems with two orders
    Authors:
    M. Wyrwas, E. Girejko, D. Mozyrska, E. Pawluszewicz
    Book:
    Advances in the Thoery and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 41-52), Wydawca: Springer
    Status:
    Published
  5. Stability of fractional difference systems with two orders
    Authors:
    M. Wyrwas, E. Girejko, D. Mozyrska, E. Pawluszewicz
    Book:
    Advances in the Thoery and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 41-52), Wydawca: Springer
    Status:
    Published
  6. The Z-transform method for sequential fractional difference operator
    Authors:
    E. Girejko, E. Pawłuszewicz, M. Wyrwas
    Book:
    Theoretical Developments and Applications of Non-integer Order Systems (rok: 2016, tom: vol. 357, strony: 57-67), Wydawca: Springer International Publishing
    Status:
    Published
  7. Solutions of systems with two-terms fractional difference operators
    Authors:
    E. Girejko, D. Mozyrska, M. Wyrwas
    Book:
    Advances in the Theory and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 183-190), Wydawca: Springer
    Status:
    Published
  8. Solutions of systems with two-terms fractional difference operators
    Authors:
    E. Girejko, D. Mozyrska, M. Wyrwas
    Book:
    Advances in the Theory and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 183-190), Wydawca: Springer
    Status:
    Published
  9. Viable Solutions to Fractional Difference and Differential Equations
    Authors:
    E. Girejko, D. Mozyrska, M. Wyrwas
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems, Series Title: Lecture Notes in Electrical Engineering (rok: 2014, tom: vol. 320, strony: 15-24), Wydawca: Springer International Publishing
    Status:
    Published
  10. Fractional Linear Equations with Discrete Operators of Positive Order
    Authors:
    D. Mozyrska, M. Wyrwas
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems, Series Title: Lecture Notes in Electrical Engineering (rok: 2014, tom: vol. 320, strony: 47-58), Wydawca: Springer International Publishing
    Status:
    Published
  11. Constrained controllability of h-difference linear systems with two fractional orders
    Authors:
    E. Pawłuszewicz, D. Mozyrska
    Book:
    Advances in the Thoery and Applications of Non-integer Order Systems (rok: 2013, tom: 257, strony: 67-76), Wydawca: Springer
    Status:
    Published
  12. Fractional Linear Equations with Discrete Operators of Positive Order
    Authors:
    D. Mozyrska, M. Wyrwas
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems, Series Title: Lecture Notes in Electrical Engineering (rok: 2014, tom: vol. 320, strony: 47-58), Wydawca: Springer International Publishing
    Status:
    Published
  13. Stability of linear discrete-time systems with fractional positive orders
    Authors:
    M. Wyrwas, D. Mozyrska
    Book:
    Theoretical Developments and Applications of Non-integer Order Systems (rok: 2016, tom: vol. 357, strony: 157-166), Wydawca: Springer International Publishing
    Status:
    Published
  14. Viable Solutions to Fractional Difference and Differential Equations
    Authors:
    E. Girejko, D. Mozyrska, M. Wyrwas
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems, Series Title: Lecture Notes in Electrical Engineering (rok: 2014, tom: vol. 320, strony: 15-24), Wydawca: Springer International Publishing
    Status:
    Published
  15. On Mittang_Leffler stability of fractional order difference systems
    Authors:
    M. Wyrwas, D. Mozyrska
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems, Series Title: Lecture Notes in Electrical Engineering (rok: 2014, tom: vol. 320, strony: 209-220), Wydawca: Springer International Publishing
    Status:
    Published

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