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Information of the project and the call

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Consensus in fractional dynamical systems and systems on time scales

2014/15/B/ST7/05270

Keywords:

dynamical systems fractional calculus time scale calculus opinion dynamics differential systems of equations difference systems of equations sparse control

Descriptors:

  • ST7_12: Electrical energy production, distribution and application
  • ST1_17: Applied mathematics

Panel:

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

Host institution :

Politechnika Białostocka, Wydział Informatyki

woj. podlaskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Agnieszka Malinowska 

Number of co-investigators in the project: 6

Call: OPUS 8 - announced on 2014-09-15

Amount awarded: 761 800 PLN

Project start date (Y-m-d): 2015-07-14

Project end date (Y-m-d): 2019-07-13

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (18)
  • Articles in post-conference publications (9)
  • Book publications / chapters in book publications (4)
  1. Numerical analysis of behaviour of the Cucker–Smale type models with fractional operators
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2018, tom: 339, strony: 111-123), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2017.12.013 - link to the publication
  2. Exponentially stable solution of mathematical model of agents dynamics on time scales
    Authors:
    Ewa Schmeidel, Urszula Ostaszewska, Małgorzata Zdanowicz
    Academic press:
    Advances in Difference Equations (rok: 2019, tom: 231, strony: 45310), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1186/s13662-019-2159-4 - link to the publication
  3. Krause's model of opinion dynamics on isolated time scales
    Authors:
    Ewa Girejko, Luís Machado, Agnieszka B. Malinowska, Natália Martins
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2016, tom: vol. 39, nr 18, strony: 5302-5314), Wydawca: Wiley Online Library
    Status:
    Published
    DOI:
    10.1002/mma.3916 - link to the publication
  4. Leader-following consensus for networks with single- and double-integrator dynamics
    Authors:
    Ewa Girejko, Agnieszka B. Malinowska
    Academic press:
    Nonlinear Analysis: Hybrid Systems (rok: 2019, tom: 31, strony: 302-316), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.007 - link to the publication
  5. Optimal Leader-Follower Control for the Fractional Opinion Formation Model
    Authors:
    Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
    Academic press:
    Journal of Optimization Theory and Applications (rok: 2019, tom: 182 (3), strony: 1171-1185), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10957-018-1363-9 - link to the publication
  6. Behaviour of fractional discrete-time consensus models with delays for summator dynamics
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Bulletin of the Polish Academy of Sciences: Technical Sciences (rok: 2018, tom: 66(4), strony: 403-410), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/124255 - link to the publication
  7. Discrete leader-following consensus
    Authors:
    Agnieszka B. Malinowska, Ewa Schmeidel, Małgorzata Zdanowicz
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2017, tom: 40(18), strony: 7307–7315), Wydawca: John Wiley & Sons Ltd
    Status:
    Published
    DOI:
    10.1002/mma.4530 - link to the publication
  8. Emergence of consensus of multi-agents systems on time scales
    Authors:
    Urszula Ostaszewska, Ewa Schmeidel, Małgorzata Zdanowicz
    Academic press:
    Miskolc Mathematical Notes (rok: 2019, tom: 20 (2), strony: 1201-1214), Wydawca: University of Miskolc
    Status:
    Published
    DOI:
    10.18514/MMN.2019.2704 - link to the publication
  9. Fractional discrete–time consensus models for single– and double–summator dynamics
    Authors:
    Małgorzata Wyrwas, Dorota Mozyrska, Ewa Girejko
    Academic press:
    International Journal of Systems Science (rok: 2018, tom: 49(6), strony: 1212-1225), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00207721.2018.1442511 - link to the publication
  10. Leader-following consensus for fractional multi-agent systems
    Authors:
    Ricardo Almeida, Ewa Girejko, Snezhana Hristova, Agnieszka B. Malinowska
    Academic press:
    Advances in Difference Equations (rok: 2019, tom: 2019:301, strony: 45306), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1186/s13662-019-2235-9 - link to the publication
  11. On systems of fractional differential equations with the 𝜓-Caputo derivative and their applications
    Authors:
    Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2019, tom: brak, strony: 45307), Wydawca: John Wiley & Sons Ltd
    Status:
    Published
    DOI:
    10.1002/mma.5678 - link to the publication
  12. The existence of consensus of a leader-following problem with Caputo fractional derivative
    Authors:
    Ewa Schmeidel
    Academic press:
    Opuscula Mathematica (rok: 2019, tom: 39 (1), strony: 77-89), Wydawca: AGH University of Science and Technology
    Status:
    Published
    DOI:
    10.7494/OpMath.2019.39.1.77 - link to the publication
  13. Optimal control of discrete-time fractional multi-agent systems
    Authors:
    Agnieszka B. Malinowska, Tatiana Odzijewicz
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2018, tom: 339, strony: 258-274), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.014 - link to the publication
  14. Optimal control of the discrete-time fractional-order Cucker-Smale model
    Authors:
    Agnieszka B. Malinowska, Tatiana Odzijewicz
    Academic press:
    Discrete and Continuous Dynamical Systems. Series B (rok: 2018, tom: 23 (1), strony: 347-357), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018023 - link to the publication
  15. Application of predictive control to the Hegselmann-Krause model
    Authors:
    Ricardo Almeida, Ewa Girejko, Luis Machado, Agnieszka B. Malinowska, Natalia Martins
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2018, tom: 41(18), strony: 9191-9202), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.5132 - link to the publication
  16. Fractional discrete-time of Hegselmann-Krause's type consensus model with numerical simulations
    Authors:
    Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Neurocomputing (rok: 2016, tom: vol.216, strony: 381-392), Wydawca: Elsevier Science BV, Amsterdam, Netherlands
    Status:
    Published
    DOI:
    10.1016/j.neucom.2016.08.010 - link to the publication
  17. On consensus in the Cucker–Smale type model on isolated time scales
    Authors:
    Ewa Girejko, Luis Machado, Agnieszka B. Malinowska, Natalia Martins
    Academic press:
    Discrete and Continuous Dynamical Systems. Series S (rok: 2018, tom: 11(1), strony: 77-89), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2018005 - link to the publication
  18. Attitude dynamics modelling: fractional consensus approach
    Authors:
    Jerzy Baranowski, Karolina Dukała, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Nonlinear Dynamics (rok: 2019, tom: brak, strony: 45313), Wydawca: brak
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. The Fractional Variable-Order Cucker-Smale Type Model for a Couple of Agents
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    23rd International Conference on Methods and Models in Automation and Robotics (rok: 2018, ), Wydawca: Institute of Electrical and Electronics Engineers Inc.
    Data:
    konferencja 27-30.08.2018
    Status:
    Published
  2. Non-invasive control of the Hegselmann–Krause type model
    Authors:
    Ewa Girejko, Agnieszka B. Malinowska
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics (rok: 2017, ), Wydawca: IEEExplore
    Data:
    konferencja 28-31.08.2017
    Status:
    Published
  3. Fractional Opinion Formation Models with Leadership
    Authors:
    Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
    Conference:
    23rd International Conference on Methods and Models in Automation and Robotics (rok: 2018, ), Wydawca: IEEExplore
    Data:
    konferencja 27-30.08.2018
    Status:
    Published
  4. On the Fractional Variable Order Cucker–Smale Type Model
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    3rd IFAC Conference on Advances in Proportional-Integral-Derivative Control (PID) (rok: 2018, ), Wydawca: Elsevier
    Data:
    konferencja 09-11.05.2018
    Status:
    Published
  5. Behaviour of the fractional Cucker-Smale type model for a couple of agents
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    22nd International Conference on Methods and Models in Automation and Robotics (rok: 2017, ), Wydawca: IEEExplore
    Data:
    konferencja 28-31.08.2017
    Status:
    Published
  6. Leader-following consensus of fractional nonlinear multiagent systems involving a Caputo-type derivative
    Authors:
    Ewa Schmeidel, Malgorzata Zdanowicz
    Conference:
    16th International Conference on Numerical Analysis and Applied Mathematics (rok: 2018, ), Wydawca: AIP Conf. Proc., (publ. by) American Institute of Physics
    Data:
    konferencja 13-18.09.2018
    Status:
    Published
  7. The emergence on isolated time scales
    Authors:
    Ewa Girejko, Agnieszka B. Malinowska, Ewa Schmeidel, Małgorzata Zdanowicz
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics (MMAR2016) (rok: 2016, ), Wydawca: IEEExplore
    Data:
    konferencja 29.08-01.09.2016
    Status:
    Published
    DOI:
    link to the publication
  8. On Leader-Following Consensus Protocol for Positive Discrete-Time Multi-Agent Systems
    Authors:
    Ewa Girejko, Agnieszka B. Malinowska
    Conference:
    23rd International Conference on Methods & Models in Automation & Robotics (rok: 2018, ), Wydawca: IEEExplore
    Data:
    konferencja 27-30.08.2018
    Status:
    Published
  9. On the Cucker–Smale model with the Hahn operator
    Authors:
    Ewa Girejko, Agnieszka B. Malinowska, Ewa Schmeidel, Małgorzata Zdanowicz
    Conference:
    14th International Conference on Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece (rok: 2017, ), Wydawca: AIP Conf. Proc., (publ. by) American Institute of Physics
    Data:
    konferencja 18-25.09.2016
    Status:
    Published
  1. Fractional Cucker-Smale type models with the Caputo variable-order operator
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Book:
    Advances in Non-Integer Order Calculus and Its Applications (rok: 2020, tom: 559, strony: 163-173), Wydawca: Springer
    Status:
    Published
  2. Non-invasive control of the fractional Hegselmann–Krause type model
    Authors:
    Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
    Book:
    Non-Integer Order Calculus and its Applications (rok: 2019, tom: 496, strony: 14-27), Wydawca: Springer
    Status:
    Published
  3. On the existence of optimal controls for the fractional continuous-time Cucker-Smale model
    Authors:
    Agnieszka B. Malinowska, Tatiana Odzijewicz, Ewa Schmeidel
    Book:
    Theory and Applications of Non-integer Order Systems (rok: 2017, tom: vol. 407, strony: 227-240), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication
  4. On the fractional continuous-time Hegselman-Krause's type consensus model
    Authors:
    Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
    Book:
    Theory and Applications of Non-integer Order Systems (rok: 2017, tom: vol. 407, strony: 21-32), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication

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