- Tytuł:
- Stability of Multi-Dimensional Discrete Systems With Varying Structure
- Autorzy:
-
Dymkov, M.
Gaishun, I. - Powiązania:
- https://bibliotekanauki.pl/articles/908265.pdf
- Data publikacji:
- 1999
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
układ wielowymiarowy
złożenie krzywoliniowe
stabilność
multi-dimensional systems
total solvability
curvilinear composition
stability - Opis:
- A new class of multi-dimensional discrete systems with varying structureis introduced. The notions of total solvability, p_t-boundedness, p_t-stability and asymptotic stability are defined. For studying properties of the solutions for the considered systems a curvilinear composition of mappings along discrete curves is used. Total solvability conditions similar to the Frobenius ones are obtained. Sufficient conditions for p_t-stability and asymptotic stability based on the Lyapunov functional method are also established. A two-dimensional system of Volterra equations is presented as an example of equations with varying structure.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 789-799
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł