Stability of Multi-Dimensional Discrete Systems With Varying Structure

• Autorzy: Dymkov M. , Gaishun I.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multi-dimensional systems; total solvability; curvilinear composition; stability

PL

układ wielowymiarowy; złożenie krzywoliniowe; stabilność

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 1999
• Tom: Vol. 9, no 4
• Strony: 789--799
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Dymkov M.

autor

Gaishun I.

• Institute of Mathematics National Academy of Sciences of Belarus 11, Surganov Str., 220072, Minsk, Belarus,