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Information on the principal investigator and host institution

Information of the project and the call

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One-dimensional and two-dimensional optimal control systems of noninteger order

2011/01/B/ST7/03426

Keywords:

Derivatives of noninteger order Euler-Lagrange equations repetitive processes Roesser systems existence of optimal solutions necessary conditions of optimality numerical methods

Descriptors:

  • ST7_4: Micro- and nanosystems engineering
  • ST7_10: Hardware implementation of algorithms

Panel:

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

Host institution :

Uniwersytet Łódzki, Wydział Matematyki i Informatyki

woj. łódzkie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Dariusz Idczak 

Number of co-investigators in the project: 7

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 398 320 PLN

Project start date (Y-m-d): 2011-12-08

Project end date (Y-m-d): 2014-12-07

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

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (17)
  • Articles in post-conference publications (6)
  1. A fractional imbedding theorem
    Authors:
    Dariusz Idczak, Stanisław Walczak
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2012, tom: 15 (3), strony: 418-425), Wydawca: Springer-Wiedeń, Versita-Warszawa
    Status:
    Published
    DOI:
    10.2478/s13540-012-0030-3 - link to the publication
  2. A global implicit function theorem and its applications to functional equations
    Authors:
    Dariusz Idczak
    Academic press:
    Discrete Continuous and Dynamical Systems, Series B (rok: 2014, tom: 19 (8), strony: 2549-2556), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2014.19.2549 - link to the publication
  3. A fractional fundamental lemma and a fractional integration by parts formula - Applications to critical points of Bolza functionals and to linear boundary value problems
    Authors:
    Loic Bourdin, Dariusz Idczak
    Academic press:
    Advances in Differential Equations (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Khayyam Publishing, Inc.
    Status:
    Accepted for publication
    DOI:
    nie - link to the publication
  4. Existence of optimal solutions to Lagrange problem for a fractional nonlinear control system with Riemann-Liouville derivative
    Authors:
    Dariusz Idczak, Rafał Kamocki
    Academic press:
    Journal of Optimization Theory and Applications (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Springer
    Status:
    Submitted
    DOI:
    nie - link to the publication
  5. Fractional linear control systems with Caputo derivative and their optimization
    Authors:
    Rafał Kamocki, Marek Majewski
    Academic press:
    Optimal Control Applications and Methods (rok: 2014, tom: nie dotyczy, strony: brak), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/oca.2150 - link to the publication
  6. On the continuous dependence of solutions to a fractional Dirichlet problem. The case of saddle points.
    Authors:
    Rafał Kamocki, Marek Majewski
    Academic press:
    Discrete and Continuous Dynamical Systems, Series B (rok: 2014, tom: 19 (8), strony: 2557-2568), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2014.19.2557 - link to the publication
  7. Optimization of a fractional Mayer problem - existence of solutions, maximum principle, gradient methods
    Authors:
    Dariusz Idczak, Stanisław Walczak
    Academic press:
    Opuscula Mathematica (rok: 2014, tom: 34 (4), strony: 763-775), Wydawca: AGH University of Science and Technology
    Status:
    Published
    DOI:
    10.7494/OpMath.2014.34.4.763 - link to the publication
  8. On a generalization of a global implicit function theorem
    Authors:
    Dariusz Idczak
    Academic press:
    Advanced Nonlinear Studies (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: LEBCO Graphics Inc.
    Status:
    Submitted
    DOI:
    nie - link to the publication
  9. Fractional differential repetitive processes with Riemann-Liouville and Caputo derivatives
    Authors:
    Dariusz Idczak, Rafał Kamocki
    Academic press:
    Multidimensional Systems and Signal Processing (rok: 2015, tom: 26, strony: 193-206), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11045-013-0249-0 - link to the publication
  10. Sensitivity of a fractional integro-differential Cauchy problem of Volterra type
    Authors:
    Dariusz Idczak, Andrzej Skowron, Stanisław Walczak
    Academic press:
    Abstract and Applied Analysis (rok: 2013, tom: 2013, ID 129478, strony: brak), Wydawca: Hindawi Publishing Corporation
    Status:
    Published
    DOI:
    10.1155/2013/129478 - link to the publication
  11. Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders
    Authors:
    Dariusz Idczak, Rafał Kamocki, Marek Majewski, Stanisław Walczak
    Academic press:
    Applied Mathematics and Computation (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    nie - link to the publication
  12. On a linear-quadratic problem with Caputo derivative
    Authors:
    Dariusz Idczak, Stanisław Walczak
    Academic press:
    Opuscula Mathematica (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: AGH University of Science and Technology
    Status:
    Submitted
    DOI:
    nie - link to the publication
  13. On the existence and continuous dependence on parameters of solutions to some fractional Dirichlet problem
    Authors:
    Rafał Kamocki, Marek Majewski
    Academic press:
    Journal of Optimization Theory and Applications (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Springer
    Status:
    Submitted
    DOI:
    nie - link to the publication
  14. Fractional Sobolev spaces via Riemann-Liouville derivates
    Authors:
    Dariusz Idczak, Stanisław Walczak
    Academic press:
    Journal of Function Spaces and Applications (rok: 2013, tom: 2013, ID 128043, strony: brak), Wydawca: Hindawi Publishing Corporation
    Status:
    Published
    DOI:
    10.1155/2013/128043 - link to the publication
  15. Application of a global implicit function theorem to a general fractional integro-differential system of Volterra type
    Authors:
    Dariusz Idczak, Stanisław Walczak
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: De Gryuter Open (former Versita)-Warsaw and Springer-Wien
    Status:
    Submitted
    DOI:
    nie - link to the publication
  16. Necessary and sufficient optimality conditions for fractional nonhomogeneous Roesser model
    Authors:
    Rafał Kamocki
    Academic press:
    Optimal Control Applications and Methods (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Wiley
    Status:
    Submitted
    DOI:
    nie - link to the publication
  17. On a fractional Dirichlet problem of higher order
    Authors:
    Marek Majewski
    Academic press:
    Dynamic Systems and Applicacations (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Dynamic Publishers USA
    Status:
    Submitted
    DOI:
    nie - link to the publication
  1. Compactness of fractional imbeddings
    Authors:
    Dariusz Idczak, Stanisław Walczak
    Conference:
    17th IEEE International Conference on Methods and Models in Automation and Robotics MMAR 2012 (rok: 2012, ), Wydawca: IEEE
    Data:
    konferencja 27 - 30 sierpnia 2012
    Status:
    Published
  2. On a fractional Dirichlet problem
    Authors:
    Rafał Kamocki, Marek Majewski
    Conference:
    17th IEEE International Conference on Methods and Models in Automation and Robotics MMAR 2012 (rok: 2012, ), Wydawca: IEEE
    Data:
    konferencja 27 - 30 sierpnia 2012
    Status:
    Published
  3. On a fractional continuous counterpart of Fornasini-Marchesini model
    Authors:
    Dariusz Idczak, Rafał Kamocki, Marek Majewski
    Conference:
    8th International Workshop on Multidimensional Systems (nDS'13) (rok: 2013, ), Wydawca: VDE Verlag Gmbh
    Data:
    konferencja 9 - 11 września 2013
    Status:
    Published
    DOI:
    link to the publication
  4. Fractional continuous Roesser model with Riemann-Liouville derivative
    Authors:
    Dariusz Idczak, Rafał Kamocki, Marek Majewski
    Conference:
    8th International Workshop on Multidimensional Systems (nDS'13) (rok: 2013, ), Wydawca: VDE Verlag Gmbh
    Data:
    konferencja 9 - 11 września 2013
    Status:
    Published
    DOI:
    link to the publication
  5. Existence of optimal solutions to Lagrange and Bolza problems for fractional Dirichlet problem via continuous dependence
    Authors:
    Marek Majewski
    Conference:
    19th IEEE International Conference on Methods and Models in Automation and Robotics MMAR 2014 (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 2-5 September 2014
    Status:
    Published
  6. Compactness of fractional embeddings for boundary value problems
    Authors:
    Dariusz Idczak, Marek Majewski
    Conference:
    18th IEEE International Conference on Methods and Models in Automation and Robotics MMAR 2013 (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 26 - 29 sierpnia 2013
    Status:
    Published
    DOI:
    link to the publication

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