- Tytuł:
- The Stability Interval of the Set of Linear System
- Autorzy:
-
Mazakov, Talgat
Wójcik, Waldemar
Jomartova, Sholpan
Karymsakova, Nurgul
Ziyatbekova, Gulzat
Tursynbai, Aisulu - Powiązania:
- https://bibliotekanauki.pl/articles/1844628.pdf
- Data publikacji:
- 2021
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
automatic control system
stability
matrix
minor
characteristic polynomial
Hurwitz criterion
Lienard-Shipard criterion of interval mathematics
Lyapunov function - Opis:
- The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and LienardShipar interval criteria. Krylov, Leverier, and Leverier-Danilevsky algorithms are implemented for automated construction and analysis of the interval characteristic polynomial. The interval mathematics library was used while developing the software. The stability of the dynamic system described by linear ordinary differential equations is determined and based on the properties of the eigenvalues of the interval characteristic polynomial. On the basis of numerical calculations, the authors compare several methods of constructing the characteristic polynomial. The developed software that implements the introduced interval arithmetic operations can be used in the study of dynamic properties of automatic control systems, energy, economic and other non-linear systems.
- Źródło:
-
International Journal of Electronics and Telecommunications; 2021, 67, 2; 155-161
2300-1933 - Pojawia się w:
- International Journal of Electronics and Telecommunications
- Dostawca treści:
- Biblioteka Nauki
Artykuł