Algebraic methods in the problem of approximation of nonlinear control systems
2017/25/B/ST1/01892
Keywords
Descriptors
- ST1_17: Teoria sterowania i optymalizacja
- ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
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
Voivodeship: zachodniopomorskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
OPUS 13 – announced on 2017-03-15
- Amount awarded
- 292 500 PLN
- Project start date
- 2018-01-19
- Project end date
- 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 (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 (year: 2022, volume: 28, pages: 15), Publisher: EDP Sciences
- Status:
- Published
- DOI:
- 10.1051/cocv/2022007 – link to the publication
-
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 (year: 2021, volume: 31, pages: 46040), Publisher: Springer Science+Business Media, LLC, part of Springer Nature
- Status:
- Published
- DOI:
- 10.1007/s10883-021-09574-x – link to the publication
-
On mappability of control systems to linear systems with analytic matrices
- Authors:
- K.V.Sklyar
- Academic press:
- Systems & Control Letters (year: 2019, volume: 134, pages: art. no. 104572), Publisher: Elsevier B.V.
- Status:
- Published
- DOI:
- 10.1016/j.sysconle.2019.104572 – link to the publication
-
Subspaces of maximal singularity for homogeneous control systems
- Authors:
- G. M. Sklyar, S. Yu. Ignatovich
- Academic press:
- Journal of Dynamical and Control Systems (year: 2021, volume: 27, pages: 585-616), Publisher: Springer Science+Business Media, LLC, part of Springer Nature
- Status:
- Published
- DOI:
- 10.1007/s10883-020-09518-x – link to the publication
-
Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems
- Authors:
- Sklyar G., Barkhayev P., Ignatovich S., Rusakov V.
- Status:
- Accepted for publication
Book publications / chapters in book publications (3)
-
Construction of a homogeneous approximation
- Authors:
- Grigorij Sklyar and Svetlana Ignatovich
- Book:
- Advanced, Contemporary Control (in series: Advances in Intelligent Systems and Computing) (year: 2020, volume: 2020, pages: 611-624), Publisher: Springer Nature
- Status:
- Published
-
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) (year: 2020, volume: 2020, pages: 625-637), Publisher: Springer Nature
- Status:
- Published
-
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) (year: 2018, volume: 267, pages: 359–370), Publisher: Springer International Publishing AG, part of Springer Nature
- Status:
- Published