Commutativity of sixth-order time-varying linear systems

S Ibrahim, ME Koksal - Circuits, Systems, and Signal Processing, 2021 - Springer
This paper studies commutativity of sixth-order differential systems with zero and nonzero
initial conditions (ICs). Given a sixth-order differential system A, we find its commutative pair …

Commutativity of systems with their feedback conjugates

ME Koksal - Transactions of the Institute of Measurement …, 2019 - journals.sagepub.com
After introducing commutativity concept and summarizing the relevant literature, this work is
focused on the commutativity of feedback conjugates. It is already known that a linear time …

Explicit Commutativity for Lamé Linear Time‐Varying Differential Systems

S Ibrahim, S Boulaaras, A Rababah… - International Journal of …, 2024 - Wiley Online Library
This article studies the commutativity and sensitivity of the Lamé linear time‐varying systems
(LTVSs), and investigates the effects of disturbances on such systems. The commutative pair …

Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs

ME Koksal - Open Mathematics, 2016 - degruyter.com
Necessary and sufficiently conditions are derived for the decomposition of a second order
linear time-varying system into two cascade connected commutative first order linear time …

Decomposition of third-order linear time-varying systems into its second-and first-order commutative pairs

ME Koksal, A Yakar - Circuits, Systems, and Signal Processing, 2019 - Springer
Decomposition is a common tool for the synthesis of many physical systems. It is also used
for analyzing large-scale systems which are then known as tearing and reconstruction. On …

Transitivity of commutativity for second-order linear time-varying analog systems

ME Koksal - Circuits, Systems, and Signal Processing, 2019 - Springer
It is proven that the transitivity property of commutativity is always valid for second-order
linear time-varying analog systems whether their initial states are zero or not. Throughout …

Üçüncü Mertebeden Kısmi Diferansiyel Denklemin Homotopy Pertürbasyon Metodu ile Çözümü

M Modanlı, H Eş - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2021 - dergipark.org.tr
Bu çalışmada, üçüncü mertebeden kısmi diferansiyel denklemin çözümü homotopy
pertürbasyon metodu ile elde edildi. Bu denklemin çözümü için homotopy pertürbasyon …

[PDF][PDF] The second order commutative pairs of a first order linear time-varying system

ME Koksal - Applied Mathematics & Information Sciences, 2015 - naturalspublishing.com
Although several publications have been appeared about the commutativity of linear time-
varying systems, no research has appeared so far on the evaluation of higher order …

Decomposition of Second-Order Discrete-Time Linear Time-Varying Systems into First-Order Commutative Pairs

SA Güneş, ME Köksal - Circuits, Systems, and Signal Processing, 2023 - Springer
In this study, necessary and sufficient conditions for the decomposition of any second-order
discrete-time linear time-varying system as a commutative pair of two first-order systems are …

Commutativity and Commutative Pairs of Some Differential Equations

ME Koksal - arXiv preprint arXiv:1709.05405, 2017 - arxiv.org
In this study, explicit differential equations representing commutative pairs of some well-
known second-order linear time-varying systems have been derived. The commutativity of …