The stability interval of the set of linear system
Mazakov T. Wójcik W. Jomartova S. Karymsakova N. Ziyatbekova G. Tursynbai A.
2021Polska Akademia Nauk
International Journal of Electronics and Telecommunications
2021#67Issue 2155 - 161 pp.
The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and Lienard- Shipar 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.
Automatic control system , Characteristic polynomial , Hurwitz criterion , Lienard-Shipard criterion of interval mathematics , Lyapunov function , Matrix , Minor , Stability
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Institute of Information and Computational Technologies CS MES RK, Al Farabi Kazakh National University, Almaty, Kazakhstan
Lublin Technical University, Poland
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Information and Computational Technologies CS MES RK
Lublin Technical University
Al-Farabi Kazakh National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026