Keywords and phrases: commutativity, linear time-varying systems and analogue control.
Received: January 24, 2022; Accepted: March 15, 2022; Published: March 26, 2022
How to cite this article: Salisu Ibrahim, Commutativity of high-order linear time-varying systems, Advances in Differential Equations and Control Processes 27 (2022), 73-83. http://dx.doi.org/10.17654/0974324322013
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] E. Marshall, Commutativity of time-varying systems, Electro Lett. 18 (1977), 539 540. [2] S. V. Saleh, Comments on ‘Commutativity of second-order time-varying systems’, International Journal of Control 37 (1983), 1195-1196. [3] M. Koksal, General conditions for commutativity of time-varying systems, Telecommunication and Control (1984), 225-229. [4] M. Koksal, Commutativity of 4th order systems and Euler systems time-varying systems, Proceedings of the National Congress of Electric Engineering, 1985, BI 6. [5] M. E. Koksal and M. Koksal, Commutativity of linear time-varying differential systems with nonzero initial conditions: A Review. Mathematical Problems in Engineering (2011), 1-25. [6] S. Ibrahim and M. E. Koksal, Commutativity of sixth-order time-varying linear systems, Circuits Syst. Signal Process. 40(10) (2021), 1-34. https://doi.org/10.1007/s00034-021-01709-6 [7] S. Ibrahim and M. E. Koksal, Realization of a fourth-order linear time-varying differential system with nonzero initial conditions by cascaded two second-order commutative pairs, Circuits Syst. Signal Process, 2021. https://doi.org/10.1007/s00034-020-01617-1 [8] S. Ibrahim and M. E. Koksal, Decomposition of fourth-order linear time-varying differential system into its twin second-order commutative pairs, 3rd International Symposium on Multidisciplinary Studies and Innovative Technologies, Ankara 2019, pp. 224-226. [9] S. Ibrahim and M. E. Koksal, Decomposition of fourth-order linear time-varying system, 4th International Symposium on Innovative Approaches in Engineering and Natural Sciences, Samsun 4(6) (2019), pp. 139-141. [10] S. Ibrahim, Explicit commutativity and stability for the Heun’s linear time- varying differential systems, Authorea 2021. https://doi.org/10.22541/au.162566323.35099726/v1 [11] S. Ibrahim and A. Rababah, Decomposition of fourth-order Euler-type linear time- varying differential systems, into Cascaded Two Second-Order Euler Commutative Pairs, Complexity, Vol. 2022, Article ID 3690019, 9 pages. https://doi.org/10.1155/2022/3690019
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