Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Algebraic methods in the problem of approximation of nonlinear control systems

2017/25/B/ST1/01892

Keywords:

Nonlinear control systems homogeneous approximation time optimality free algebra series of nonlinear power moments mappability linearizability

Descriptors:

  • ST1_17: Applied mathematics
  • ST1_10: Ordinary differential equations and dynamical systems

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Szczeciński, Instytut Matematyki

woj. zachodniopomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Grigorij Sklyar 

Number of co-investigators in the project: 2

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 292 500 PLN

Project start date (Y-m-d): 2018-01-19

Project end date (Y-m-d): 2022-01-18

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

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (6)
  • Book publications / chapters in book publications (3)
  1. Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems
    Authors:
    Sklyar G., Barkhayev P., Ignatovich S., Rusakov V.
    Academic press:
    Mathematics of Control, Signals, and Systems , Wydawca: Springer Science+Business Media, LLC, part of Springer Nature
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  2. On mappability of control systems to linear systems with analytic matrices
    Authors:
    K.V.Sklyar
    Academic press:
    Systems & Control Letters (rok: 2019, tom: 134, strony: art. no. 104572), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.sysconle.2019.104572 - link to the publication
  3. Subspaces of maximal singularity for homogeneous control systems
    Authors:
    G. M. Sklyar, S. Yu. Ignatovich
    Academic press:
    Journal of Dynamical and Control Systems (rok: 2021, tom: 27, strony: 585-616), Wydawca: Springer Science+Business Media, LLC, part of Springer Nature
    Status:
    Published
    DOI:
    10.1007/s10883-020-09518-x - link to the publication
  4. Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems
    Authors:
    Sklyar K. V., Ignatovich S. Yu.
    Academic press:
    Systems & Control Letters , Wydawca: Elsevier B.V.
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Hausdorff moment problem and nonlinear time optimality
    Authors:
    Grigory M. Sklyar and Svetlana Yu. Ignatovich
    Academic press:
    ESAIM: Control, Optimisation and Calculus of Variations (rok: 2022, tom: 28, strony: 15), Wydawca: EDP Sciences
    Status:
    Published
    DOI:
    10.1051/cocv/2022007 - link to the publication
  6. Invariants of linear control systems with analytic matrices and the linearizability problem
    Authors:
    Katerina Sklyar and Svetlana Ignatovich
    Academic press:
    Journal of Dynamical and Control Systems (rok: 2021, tom: 31, strony: 45309), Wydawca: Springer Science+Business Media, LLC, part of Springer Nature
    Status:
    Published
    DOI:
    10.1007/s10883-021-09574-x - link to the publication
  1. Construction of a homogeneous approximation
    Authors:
    Grigorij Sklyar and Svetlana Ignatovich
    Book:
    Advanced, Contemporary Control (in series: Advances in Intelligent Systems and Computing) (rok: 2020, tom: 2020, strony: 611-624), Wydawca: Springer Nature
    Status:
    Published
  2. On linearizability conditions for non-autonomous control systems
    Authors:
    Katerina Sklyar and Svetlana Ignatovich
    Book:
    Advanced, Contemporary Control (in series: Advances in Intelligent Systems and Computing) (rok: 2020, tom: 2020, strony: 625-637), Wydawca: Springer Nature
    Status:
    Published
  3. Linearizability of Multi-Control Systems of the Class C^1 by Additive Change of Controls
    Authors:
    Sklyar, K.V., Sklyar, G.M., Ignatovich, S.Y.
    Book:
    Operator Theory, Operator Algebras, and Matrix Theory (in series: Operator Theory: Advances and Applications vol. 267) (rok: 2018, tom: 267, strony: 359–370), Wydawca: Springer International Publishing AG, part of Springer Nature
    Status:
    Published

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