Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 International Journal of Electronics and Telecommunications

1 2021

Powiadomienia systemowe

Sesja wygasła!
Sesja wygasła!
Sesja wygasła!
Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Lienard-Shipard criterion of interval mathematics

Sortuj według:

Ogranicz wyniki do:

The Stability Interval of the Set of Linear System

Mazakov Talgat, Wójcik Waldemar, Jomartova Sholpan, Karymsakova Nurgul, Ziyatbekova Gulzat, Tursynbai Aisulu

International Journal of Electronics and Telecommunications

2021

Vol. 67, No. 2

155--161

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.