Presented at the 4th International Symposium on Innovative Approaches in Engineering and Natural Sciences (ISAS WINTER-2019 (ENS)), Samsun, Turkey, Nov 22, 2019

SETSCI Conference Proceedings, 2019, 9, Page (s): 139-141 , https://doi.org/10.36287/setsci.4.6.043

Published Date: 22 December 2019    | 884     12

In this presentation, conditions and explicit formulas for the realization of a relaxed fourth-order linear time-varying system as a cascade connection of two commutative first and third-order systems are given. The results are supported by an example.  

Keywords - Differential equation, physical systems, equivalent circuit, decomposition, analogue control

[1] E. Marshall, “Commutativity of time varying systems”, Electro Letters, vol. 18, pp. 539-40, 1977.
[2] M. Koksal, “Commutativity of second order time-varying systems”, International Journal of Control, vol. 3, pp. 541-44, 1982.
[3] M. Koksal, “A survey on the commutativity of time-varying systems”, Middle East Technical University, Technical Report no: GEEE CAS-85/1, 1985.
[4] M.E. Koksal, M. Koksal, “Commutativity of linear time-varying differential systems with non-zero initial conditions: A review and some new extensions”, Mathematical Problems in Engineering, vol. 2011, pp. 1-25, 2011.
[5] M.E. Koksal, “Decomposition of a second-class order linear time-varying differential system as a series connection of two first-order commutative pairs”, Open Mathematics, vol. 14, pp. 693-704, 2016.
[6] M.E. Koksal, Ali Yakar, “Decomposition of a third-order linear time-varying system into its second and first- order commutative pairs”, Circuits, Systems and Signal Processing, vol. 38, pp. 4446-4464, 2019.
[7] S. Ibrahim, M.E. Koksal, “Decomposition of fourth-order linear time-varying system into its twin second-order commutative pairs (2+2)”, In Proc. of the 3rd International Symposium on Multidisciplinary Studied and Innovative Technologies, Oct 10-12 Ankara, Turkey, pp. 224-226, 2019.