Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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. 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
  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. 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
  6. 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
  1. 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
  2. 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
  3. 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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy