- Tytuł:
- Explicit commutativity conditions for second-order linear time-varying systems with non-zero initial conditions
- Autorzy:
- Koksal, Mehmet Emir
- Powiązania:
- https://bibliotekanauki.pl/articles/229559.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
commutativity
linear systems
analogue control
robust control
differential
equations
non-zero initial conditions - Opis:
- Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and sufficient commutativity conditions for commutativity of second-order linear time-varying systems with non-zero initial conditions. It has appeared interesting that the second requirement for the commutativity of non-relaxed systems plays an important role on the commutativity conditions when non-zero initial conditions exist. Another highlight is that the commutativity of switched systems is considered and spoiling of commutativity at the switching instants is illustrated for the first time. The simulation results support the theory developed in the paper.
- Źródło:
-
Archives of Control Sciences; 2019, 29, 3; 529-548
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki