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Fixed-points methods in controllability of nonlinear systems.

2012/07/B/ST7/01404

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 Śląska, Wydział Automatyki, Elektroniki i Informatyki

Voivodeship: śląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Jerzy Klamka

Number of co-investigators in the project: 5

Call

OPUS 4 – announced on 2012-09-15

Amount awarded
490 000 PLN
Project start date
2013-06-25
Project end date
2016-10-24
Project duration
40 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputer przenośny z oprogramowaniem. Cost: 15 000 PLN

Information in the final report

Publication in academic press/journals (10)

  1. On controllability of second order dynamical systems – a survey

    Authors:
    Jerzy Klamka, Janusz Wyrwał, Radosław Zawiski
    Academic press:
    Bulletin of the Polish Academy of Sciences-Technical Sciences (year: 2017, volume: 65, pages: 279-295), Publisher: POLISH ACAD SCIENCES DIV IV, PALAC KULTURY I NAUKI, PO BOX 20, PL DEFILAD1, WARSAW, 00-901, POLAND
    Status:
    Published
    DOI:
    10.1515/bpasts-2017-0032 – link to the publication

  2. On the reducibility of the discrete linear time-varying systems

    Authors:
    Jerzy Klamka, Elżbieta Ferenstein, Artur Babiarz, Michał Niezabitowski
    Academic press:
    Applied Mechanics and Materials (year: 2015, volume: 789-790, pages: 1025-1031), Publisher: Scientific.Net
    Status:
    Published
    DOI:
    10.4028/www.scientific.net/AMM.789-790.1027 – link to the publication

  3. Stability and controllability of switched systems

    Authors:
    Jerzy Klamka, Adam Czornik, Michał Niezabitowski
    Academic press:
    Bulletin of the Polish Academy of Sciences - Technical Sciences (year: 2013, volume: 61, pages: 547-555), Publisher: 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

  4. Trajectory controllability of semilinear systems with delay in control and state

    Authors:
    Jerzy Klamka, Elżbieta Ferenstein, Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Academic press:
    Applied Mechanics and Materials (year: 2015, volume: 789-790, pages: 1043-1049), Publisher: Scientific.Net
    Status:
    Published
    DOI:
    10.4028/www.scientific.net/AMM.789-790.1045 – 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 (year: 2016, volume: 64(1), pages: 21-35), Publisher: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/bpasts-2016-0004 – link to the publication

  6. Simulation-based analysis of a linear switched system based on human arm's dynamics

    Authors:
    Artur Babiarz, Jerzy Klamka, Michał Niezabitowski, Radosław Zawiski
    Academic press:
    Applied Mechanics and Materials (year: 2015, volume: 789-790, pages: 761-767), Publisher: Scientific.Net
    Status:
    Published
    DOI:
    10.4028/www.scientific.net/AMM.789-790.763 – link to the publication

  7. 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, 63(3), 657-666 (year: 2015, volume: 63(3), pages: 657-666), Publisher: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/bpasts-2015-0077 – link to the publication

  8. Local Controllability of Models of Combined Anticancer Therapy with Delays in Control

    Authors:
    Andrzej Świerniak, Jerzy Klamka
    Academic press:
    Mathematical Modelling of Natural Phenomena (year: 2014, volume: 9(4), pages: 216-226), Publisher: EDP SCIENCES S A
    Status:
    Published
    DOI:
    10.1051/mmnp/20149413 – link to the publication

  9. Controllability Problem of Fractional Neutral Systems: A Survey

    Authors:
    Artur Babiarz, Michał Niezabitowski
    Academic press:
    Mathematical Problems in Engineering (year: 2017, volume: 2017, pages: 46037), Publisher: Hindawi
    Status:
    Published

  10. 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 (year: 2016, volume: 26(2), pages: 263-275), Publisher: UNIV ZIELONA GORA PRESS
    Status:
    Published
    DOI:
    10.1515/amcs-2016-0018 – link to the publication

Articles in post-conference publications (30)

  1. New Controllability Criteria for Fractional Systems with Varying Delays

    Authors:
    Jerzy Klamka, Beata Sikora
    Conference:
    8th Conference on Non-integer Order Calculus and its Applications (RRNR), Zakopane, Poland (year: 2016, pages: 333-344), Publisher: Springer
    Date:
    conference 20-21.09.2016
    Status:
    Published

  2. On some recent results in the exact controllability of second order infinite dimensional semilinear deterministic systems

    Authors:
    Jerzy Klamka, Radosław Zawiski, Michał Niezabitowski
    Conference:
    14th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece (year: 2017, pages: 080004-1–080004-4), Publisher: AIP
    Date:
    conference 19-25.09.2016
    Status:
    Published

  3. Controllability of the fractional discrete linear time-varying infinite-dimensional systems

    Authors:
    Jerzy Klamka, Michał Niezabitowski
    Conference:
    13th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece (year: 2016, pages: 130004-1-130004-4), Publisher: AIP
    Date:
    conference 23-29.09.2015
    Status:
    Published

  4. Controllability of discrete linear time-varying fractional system with constant delay

    Authors:
    Artur Babiarz, Jerzy Klamka
    Conference:
    13th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece (year: 2016, pages: 480058-1-480058-4), Publisher: AIP
    Date:
    conference 23-29.09.2015
    Status:
    Published

  5. Approximate controllability of stochastic nonlinear infinite dimensional systems. A short survey

    Authors:
    Jerzy Klamka, Janusz Wyrwał
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland (year: 2016, pages: 505-510), Publisher: IEEE
    Date:
    conference 29.08-01.09.2016
    Status:
    Published

  6. Controllability problem of positive discrete fractional systems with constant delay

    Authors:
    Jerzy Klamka, Adam Czornik
    Conference:
    17th International Carpathian Control Conference (ICCC 2016), Tatranska Lomnica, Slovakia (year: 2016, pages: 324-328 (2016)), Publisher: IEEE
    Date:
    conference 29.05-01.06.2016
    Status:
    Published

  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), Tatranska Lomnica, Slovakia (year: 2016, pages: 46372), Publisher: IEEE
    Date:
    conference 29.05-01.06.2016
    Status:
    Published

  8. A generalization of Yamamoto's theorem relating eigenvalue moduli and singular values of a matrix

    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka
    Conference:
    13th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece (year: 2016, pages: 130006-1-130006-4), Publisher: AIP
    Date:
    conference 23-29.09.2015
    Status:
    Published

  9. Stochastic controllability of linear systems with delay in control

    Authors:
    Jerzy Klamka, Adam Czornik
    Conference:
    17th International Carpathian Control Conference (ICCC 2016), Tatranska Lomnica, Slovakia (year: 2016, pages: 329-334), Publisher: IEEE
    Date:
    conference 29.05-01.06.2016
    Status:
    Published

  10. Controllability problem of neutral equation with Nussbaum fixed-point theorem

    Authors:
    Jerzy Klamka
    Conference:
    21st International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland (year: 2016, pages: 500-504), Publisher: IEEE
    Date:
    conference 29.08-01.09.2016
    Status:
    Published

  11. Controllability of discrete-time switched fractional order systems

    Authors:
    Artur Babiarz, Tomasz Grzejszczak, Adrian Łęgowski, Michal Niezabitowski
    Conference:
    12th World Congress on Intelligent Control and Automation, Guilin, People's Republic of China (year: 2016, pages: 1754-1757), Publisher: IEEE
    Date:
    conference 12-15.06.2016
    Status:
    Published

  12. Freezing Method Approach to an Asymptotic Stability of the Discrete-time Oscillator Equation

    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski
    Conference:
    12th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Colmar, Francja (year: 2015, pages: 353-357), Publisher: IEEE
    Date:
    conference 21-23.07.2015
    Status:
    Published

  13. Mathematical model of a human leg - the switched linear system approach

    Authors:
    Artur Babiarz, Adam Czornik, Michał Niezabitowski, Radosław Zawiski
    Conference:
    5th International Conference on Pervasive and Embedded Computing and Communication Systems (PECCS), Angers, Francja (year: 2015, pages: 90-97), Publisher: Scitepress
    Date:
    conference 11-13.02.2015
    Status:
    Published

  14. 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 (year: 2015, pages: 401-410), Publisher: Springer
    Date:
    conference 06-09.10.2015
    Status:
    Published

  15. Mathematical model of the state of acoustic field enclosed within a bounded domain

    Authors:
    Jerzy Klamka, Janusz Wyrwał, Radosław Zawiski
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Polska (year: 2015, pages: 191-194), Publisher: IEEE
    Date:
    conference 24-27.08.2015
    Status:
    Published

  16. Controllability and minimum energy control of fractional systems

    Authors:
    Jerzy Klamka
    Conference:
    10th Asian Control Conference (ASCC) (year: 2015, pages: 46027), Publisher: IEEE
    Date:
    conference 31.05-03.06.2015
    Status:
    Published

  17. 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, Indonezja (year: 2015, pages: 313-323), Publisher: Springer
    Date:
    conference 23-25.03.2015
    Status:
    Published

  18. The Mathematical Model of The Human Arm as a Switched Linear System

    Authors:
    Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski, Radosław Zawiski
    Conference:
    19th International Conference On Methods and Models in Automation and Robotics (MMAR 2014) (Międzyzdroje, Poland) (year: 2014, pages: 508-513), Publisher: IEEE
    Date:
    conference 02-05.09.2014
    Status:
    Published
    DOI:
    link to the publication

  19. Controllability of Switched Infinite-dimensional Linear Dynamical Systems

    Authors:
    Jerzy Klamka, Michał Niezabitowski
    Conference:
    19th International Conference On Methods and Models in Automation and Robotics (MMAR 2014) (Międzyzdroje, Poland) (year: 2014, pages: 171-175), Publisher: IEEE
    Date:
    conference 02-05.09.2014
    Status:
    Published
    DOI:
    link to the publication

  20. Comparison of Controllability Conditions for Models of Antiangiogenic and Combined Anticancer Therapy

    Authors:
    Andrzej Świerniak, Jerzy Klamka
    Conference:
    19th World Congress The International Federation of Automatic Control (Cape Town, South Africa) (year: 2014, pages: 11530-11535), Publisher: IFAC
    Date:
    conference 24-29.08.2014
    Status:
    Published
    DOI:
    link to the publication

  21. 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, Indonezja (year: 2015, pages: 304-312), Publisher: Springer
    Date:
    conference 23-25.03.2015
    Status:
    Published

  22. 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) (year: 2014, pages: 11740-11742), Publisher: IFAC
    Date:
    conference 24-29.08.2014
    Status:
    Published
    DOI:
    link to the publication

  23. 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) (year: 2013, pages: 464-467), Publisher: IEEE
    Date:
    conference 26-29.08.2013
    Status:
    Published
    DOI:
    link to the publication

  24. 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) (year: 2014, pages: 461-466), Publisher: IEEE
    Date:
    conference 18-20.06.2014
    Status:
    Published
    DOI:
    link to the publication

  25. 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, Indonezja (year: 2015, pages: 258-267), Publisher: Springer
    Date:
    conference 23-25.03.2015
    Status:
    Published

  26. Minimum Energy Control of Linear Fractional Systems

    Authors:
    Jerzy Klamka
    Conference:
    7th Conference on Non-Integer Order Calculus and Its Applications (RRNR), Szczecin, Polska (year: 2015, pages: 197-206), Publisher: Springer
    Date:
    conference 28-29.08.2015
    Status:
    Published

  27. Local controllability of semilinear fractional order systems with variable coefficients

    Authors:
    Artur Babiarz, Jerzy Klamka
    Conference:
    20th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Polska (year: 2015, pages: 733-737), Publisher: IEEE
    Date:
    conference 24-27.08.2015
    Status:
    Published

  28. Sterowalność układów dynamicznych

    Authors:
    Jerzy Klamka
    Conference:
    44 Konferencja zastosowań matematyki, Zakopane (year: 2015, pages: 26), Publisher: Instytut Matematyczny Polskiej Akademii Nauk
    Date:
    conference 15-22.09.2015
    Status:
    Published

  29. 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) (year: 2014, pages: 1210-1214), Publisher: IEEE
    Date:
    conference 18-20.06.2014
    Status:
    Published
    DOI:
    link to the publication

  30. 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) (year: 2014, pages: 947-952), Publisher: IEEE
    Date:
    conference 18-20.06.2014
    Status:
    Published
    DOI:
    link to the publication

Book publications / chapters in book publications (1)

  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 (year: 2016, volume: 1, pages: 19-25), Publisher: Wydawnictwo Pracowni Komputerowej Jacka Skalmierskiego
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski