TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/118879/PDF/22_2909_W%C3%B3jcik_sk.pdf L2 - http://www.czasopisma.pan.pl/Content/118879 PY - 2021 IS - No 2 EP - 161 DO - 10.24425/ijet.2021.135958 KW - automatic control system KW - stability KW - matrix KW - minor KW - characteristic polynomial KW - Hurwitz criterion KW - Lienard-Shipard criterion of interval mathematics KW - Lyapunov function A1 - Mazakov, Talgat A1 - Wójcik, Waldemar A1 - Jomartova, Sholpan A1 - Karymsakova, Nurgul A1 - Ziyatbekova, Gulzat A1 - Tursynbai, Aisulu PB - Polish Academy of Sciences Committee of Electronics and Telecommunications VL - vol. 67 DA - 2021.05.25 T1 - The Stability Interval of the Set of Linear System SP - 155 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/118879 T2 - International Journal of Electronics and Telecommunications ER -