Wszystkie pola: Dymkov, M. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: An Application of the Fourier Transform to Optimization of Continuous 2-D Systems
Autorzy:: Dymkou, V.
Dymkov, M.
Powiązania:: https://bibliotekanauki.pl/articles/908254.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: informatyka
2D systems
optimization
entire functions
Fourier transform
approximation
Opis:: This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 45-54
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja