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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Characteristic exponents of discrete linear inclusions.

2012/07/N/ST7/03236

Keywords:

Lyapunov exponents Perron exponents characteristic exponents discrete linear inclusions

Descriptors:

  • ST7_4: Micro- and nanosystems engineering
  • ST7_1: Control engineering in automation and robotics
  • ST7_12: Electrical energy production, distribution and application

Panel:

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

Host institution :

Politechnika Śląska, Wydział Automatyki, Elektroniki i Informatyki

woj. śląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Michał Niezabitowski 

Number of co-investigators in the project: 2

Call: PRELUDIUM 4 - announced on 2012-09-15

Amount awarded: 120 000 PLN

Project start date (Y-m-d): 2013-08-01

Project end date (Y-m-d): 2016-07-31

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

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny z osprzętem. (5 400 PLN)

Information in the final report

  • Publication in academic press/journals (18)
  • Articles in post-conference publications (23)
  • Book publications / chapters in book publications (1)
  1. Alternative formulae for lower general exponent of discrete linear time-varying systems
    Authors:
    Adam Czornik, Michał Niezabitowski
    Academic press:
    Journal of the Franklin Institute - Engineering and Applied Mathematics (rok: 2015, tom: 352(1), strony: 399-411), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfranklin.2014.11.003 - link to the publication
  2. Schauder's fixed-point theorem in approximate controllability problems
    Authors:
    Artur Babiarz, Jerzy Klamka, Michał Niezabitowski
    Academic press:
    International Journal of Applied Mathematics and Computer Science (rok: 2016, tom: 26, strony: 263-275), Wydawca: UZ - University of Zielona Góra and LTN - Lubuskie Scientific Society and DE GRUYTER OPEN - Emerging Science Publishers
    Status:
    Published
    DOI:
    10.1515/amcs-2016-0018 - link to the publication
  3. Influence of parametric perturbations on Lyapunov exponents of discrete linear time-varying systems
    Authors:
    Evgenii Barabanov, Adam Czornik, Michał Niezabitowski, Aliaksei Vaidzelevich
    Academic press:
    Systems and Control Letters (rok: 2017, ), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. 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 (rok: 2017, ), Wydawca: SIAM
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Banach fixed-point theorem in semilinear controllability problems – a survey
    Authors:
    Jerzy Klamka, Artur Babiarz, Michał Niezabitowski
    Academic press:
    Bulletin of the Polish Academy of Sciences - Technical Sciences (rok: 2016, tom: 64(1), strony: 21-35), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/bpasts-2016-0004 - link to the publication
  6. Modelling of the human's leg as a switched linear system
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski, Radosław Zawiski
    Academic press:
    Applied Mechanics and Materials (rok: 2015, tom: 789-790, strony: 747-753), Wydawca: Scientific.Net
    Status:
    Published
    DOI:
    10.4028/www.scientific.net/AMM.789-790.747 - link to the publication
  7. On the number of upper Bohl exponents for diagonal discrete time-varying linear system
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 429(1), strony: 337-353), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.04.022 - link to the publication
  8. Properties of the lower Bohl exponents of diagonal discrete linear time-varying systems
    Authors:
    Michał Niezabitowski
    Academic press:
    Applied Mechanics and Materials (rok: 2015, tom: 789-790, strony: 1050-1056), Wydawca: Scientific.Net
    Status:
    Published
    DOI:
    10.4028/www.scientific.net/AMM.789-790.1050 - link to the publication
  9. Stability and controllability of switched systems
    Authors:
    Jerzy Klamka, Adam Czornik, Michał Niezabitowski
    Academic press:
    Bulletin of the Polish Academy of Sciences - Technical Sciences (rok: 2013, tom: 61, strony: 547-555), Wydawca: POLISH ACAD SCIENCES DIV IV, PALAC KULTURY I NAUKI, PO BOX 20, PL DEFILAD1, WARSAW, 00-901, POLAND
    Status:
    Published
    DOI:
    10.2478/bpasts-2013-0055 - link to the publication
  10. The selected problems of controllability of discrete-time switched linear systems with constrained switching rule
    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski
    Academic press:
    Bulletin of the Polish Academy of Sciences - Technical Sciences (rok: 2015, tom: 63(3), strony: 657-666), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/bpasts-2015-0077 - link to the publication
  11. What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems?
    Authors:
    Artur Babiarz, Adam Czornik, Alexander Konyukh, Michał Niezabitowski
    Academic press:
    Journal of The Franklin Institute-Engineering and Applied Mathematics (rok: 2017, tom: 354(13), strony: 5131-5144), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfranklin.2017.05.032 - link to the publication
  12. On the sequences realizing Perron and Lyapunov exponents of discrete linear time-varying systems
    Authors:
    Michał Niezabitowski
    Academic press:
    Mathematical Problems in Engineering (rok: 2016, tom: 2016(1487824), strony: 45298), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2016/1487824 - link to the publication
  13. Output controllability of the discrete-time linear switched systems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Academic press:
    Nonlinear Analysis: Hybrid Systems (rok: 2016, tom: 21, strony: 45301), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nahs.2015.12.004 - link to the publication
  14. Description of relations between regularity coefficients of time-varying linear systems
    Authors:
    Adam Czornik, Michał Niezabitowski, Aliaksei Vaidzelevich
    Academic press:
    Mathematische Nachrichten (rok: 2017, ), Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. Necessary and Sufficient Conditions for Assignability of the Lyapunov Spectrum of Discrete Linear Time-Varying Systems
    Authors:
    Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgeniı Makarov, Michał Niezabitowski, Svetlana Popova
    Academic press:
    IEEE Transactions on Automatic Control (rok: 2017, ), Wydawca: IEEE
    Status:
    Submitted
    DOI:
    brak - link to the publication
  16. Relations between Bohl exponents and general exponent of discrete linear time-varying systems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Academic press:
    Mathematische Nachrichten (rok: 2017, ), Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  17. Pole placement theorem for discrete time-varying linear systems
    Authors:
    Artur Babiarz, Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova
    Academic press:
    SIAM Journal on Control and Optimization (rok: 2017, tom: 55(2), strony: 671-692), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/15M1033666 - link to the publication
  18. Which functions may be the upper Bohl function of the diagonal discrete linear time-varying systems?
    Authors:
    Adam Czornik, Alexander Konyukh, Michał Niezabitowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 452(2), strony: 1420-1433), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.03.061 - link to the publication
  1. Controllability of Discrete-Time Linear Switched Systems with Constrains on Switching Signal
    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski
    Conference:
    7th Asian Conference on Intelligent Information and Database Systems (ACIIDS), Bali, Indonesia (rok: 2015, ), Wydawca: Springer
    Data:
    konferencja 23-25.03.2015
    Status:
    Published
  2. On assignability of Lyapunov spectrum of discrete linear time-varying system with control
    Authors:
    Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgenii Makarov, Michał Niezabitowski, Svetlana Popova
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics (MMAR 2016) (rok: 2016, ), Wydawca: IEEE
    Data:
    konferencja 29.08-01.09.2016
    Status:
    Published
  3. Stability of infinite-dimensional linear inclusions
    Authors:
    Adam Czornik, Michał Niezabitowski
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Polska (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27.08.2015
    Status:
    Published
  4. The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems
    Authors:
    Michał Niezabitowski, Aliaksei Vaidzelevich
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Polska (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27.08.2015
    Status:
    Published
  5. Mathematical model of a human leg - the switched linear system approach
    Authors:
    Artur Babiarz, Adam Czornik, Radosław Zawiski, Michał Niezabitowski
    Conference:
    5th International Conference on Pervasive and Embedded Computing and Communication Systems (PECCS), Angers, France (rok: 2015, ), Wydawca: Scitepress
    Data:
    konferencja 11-13.02.2015
    Status:
    Published
  6. On the Set of Perron Exponents of Discrete Linear Systems
    Authors:
    Adam Czornik, Jerzy Klamka, Michał Niezabitowski
    Conference:
    19th World Congress The International Federation of Automatic Control (Cape Town, South Africa) (rok: 2014, ), Wydawca: IFAC
    Data:
    konferencja 24-29.08.2014
    Status:
    Published
    DOI:
    link to the publication
  7. Relations between general exponents of discrete time-varying linear system
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    17th International Carpathian Control Conference (ICCC 2016) (rok: 2016, ), Wydawca: IEEE
    Data:
    konferencja 29.05-01.06.2016
    Status:
    Published
  8. Controllability of positive discrete time-varying fractional systems with constant delay
    Authors:
    Bartosz Binias, Roman Czyba, Tomasz Grzejszczak, Wojciech Janusz, Piotr Jurgaś, Adrian Łęgowski, Michał Niezabitowski, Justyna Orwat
    Conference:
    17th International Carpathian Control Conference (ICCC 2016) (rok: 2016, ), Wydawca: IEEE
    Data:
    konferencja 29.05-01.06.2016
    Status:
    Published
  9. On the influence of the exponentially decaying perturbations of matrices coefficients on the Lyapunov exponents of the discrete time-varying linear system
    Authors:
    Evgenij Barabanov, Aliaksei Vaidzelevich, Adam Czornik, Michał Niezabitowski
    Conference:
    17th International Carpathian Control Conference (ICCC 2016) (rok: 2016, ), Wydawca: IEEE
    Data:
    konferencja 29.05-01.06.2016
    Status:
    Published
  10. About the number of the lower Bohl exponents of diagonal discrete linear time-varying systems
    Authors:
    Adam Czornik, Jerzy Klamka, Michał Niezabitowski
    Conference:
    11th IEEE International Conference on Control & Automation (Taichung, Taiwan) (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 18-20.06.2014
    Status:
    Published
    DOI:
    link to the publication
  11. An Approach to Observability Analysis and Estimation of Human Arm Model
    Authors:
    Artur Babiarz, Jerzy Klamka, Radosław Zawiski, Michał Niezabitowski
    Conference:
    11th IEEE International Conference on Control & Automation (Taichung, Taiwan) (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 18-20.06.2014
    Status:
    Published
    DOI:
    link to the publication
  12. Controllability and minimum energy control of linear fractional discrete-time infinite-dimensional systems
    Authors:
    Jerzy Klamka, Adam Czornik, Michał Niezabitowski, Artur Babiarz
    Conference:
    11th IEEE International Conference on Control & Automation (Taichung, Taiwan) (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 18-20.06.2014
    Status:
    Published
    DOI:
    link to the publication
  13. Controllability and stability of switched systems
    Authors:
    Adam Czornik, Michał Niezabitowski
    Conference:
    18th International Conference on Methods and Models in Automation and Robotics (Międzyzdroje, Polska) (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26-29.08.2013
    Status:
    Published
    DOI:
    link to the publication
  14. Controllability of Switched Linear Dynamical Systems
    Authors:
    Jerzy Klamka, Michał Niezabitowski
    Conference:
    18th International Conference on Methods and Models in Automation and Robotics (Międzyzdroje, Polska) (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26-29.08.2013
    Status:
    Published
    DOI:
    link to the publication
  15. Exact boundaries of mobility of the Lyapunov, Perron and Bohl exponents of linear difference systems under small perturbations of the coefficient matrices
    Authors:
    Evgenij Barabanov, Aliaksei Vaidzelevich, Adam Czornik, Michał Niezabitowski
    Conference:
    International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015) (rok: 2016, ), Wydawca: AIP Publishing
    Data:
    konferencja 23-29.09.2015
    Status:
    Published
  16. Kinematic similarity of the discrete linear time-varying systems
    Authors:
    Michał Niezabitowski
    Conference:
    20th International Conference on Control Systems and Science (CSCS20), Bukareszt, Rumunia (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 27-29.05.2015
    Status:
    Published
  17. On the attainability of an estimate of a number of Perron exponents for discrete linear diagonal systems with bounded coefficients
    Authors:
    Alexander Konyukh, Michał Niezabitowski
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Polska (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27.08.2015
    Status:
    Published
  18. About the properties of the upper Bohl exponents of diagonal discrete linear time-varying systems
    Authors:
    Michał Niezabitowski
    Conference:
    19th International Conference On Methods and Models in Automation and Robotics (MMAR 2014) (Międzyzdroje, Poland) (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 02-05.09.2014
    Status:
    Published
    DOI:
    link to the publication
  19. Dynamics Modeling of 3D Human Arm Using Switched Linear Systems
    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski
    Conference:
    7th Asian Conference on Intelligent Information and Database Systems (ACIIDS), Bali, Indonesia (rok: 2015, ), Wydawca: Springer
    Data:
    konferencja 23-25.03.2015
    Status:
    Published
  20. Estimation of the Joint Spectral Radius
    Authors:
    Adam Czornik, Piotr Jurgaś, Michał Niezabitowski
    Conference:
    4th International Conference on Man-Machine Interactions (ICMMI 2015), Kocierz, Polska (rok: 2015, ), Wydawca: Springer
    Data:
    konferencja 06-09.10.2015
    Status:
    Published
  21. Freezing method approach to stability problems
    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    12th International Conference on Informatics in Control, Automation and Robotics (ICINCO 2015) (rok: 2016, ), Wydawca: Springer
    Data:
    konferencja 19-25.07.2015
    Status:
    Published
  22. On the Lyapunov exponents of infinite-dimensional discrete time-varying linear system
    Authors:
    Adam Czornik, Piotr Jurgaś
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics (MMAR 2016) (rok: 2016, ), Wydawca: IEEE
    Data:
    konferencja 29.08-01.09.2016
    Status:
    Published
  23. Trajectory Controllability of Semilinear Systems with Delay
    Authors:
    Jerzy Klamka, Adam Czornik, Michał Niezabitowski, Artur Babiarz
    Conference:
    7th Asian Conference on Intelligent Information and Database Systems (ACIIDS), Bali, Indonesia (rok: 2015, ), Wydawca: Springer
    Data:
    konferencja 23-25.03.2015
    Status:
    Published
  1. Wpływ niedokładności parametrycznych na wykładniki Lapunowa dyskretnego układu liniowego o zmiennych współczynnikach
    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski
    Book:
    Automatyzacja procesów dyskretnych. Teoria i zastosowania. (rok: 2016, tom: 1, strony: 19-25), Wydawca: Wydaw. Pracowni Komputerowej Jacka Skalmierskiego
    Status:
    Published

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