Autor:

Sikora, Beata

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

Controllability criteria for time-delay fractional systems with a retarded state

Tytuł publikacji grupowej:

AMCS, Volume 26 (2016)

Temat i słowa kluczowe:

fractional dynamical systems ; controllability ; delays in the state ; constraints ; pseudo-transition matrix ; Caputo derivative

Abstract:

The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U-controllability are established and proved. Numerical examples illustrate the obtained theoretical results.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Typ zasobu:

artykuł

DOI:

10.1515/amcs-2016-0036

Strony:

521-531

Źródło:

kliknij tutaj, żeby przejść ; AMCS, volume 26, number 3 (2016)

Jezyk:

eng

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego