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Transitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems

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Abstract

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 the study, it is assumed that the subsystems considered cannot be obtained from each other by any feed-forward and feedback structure. The results are well validated by MATLAB simulations.

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Authors and Affiliations

  1. Department of Mathematics, Ondokuz Mayis University, 55139, Atakum, Samsun, Turkey

    Mehmet Emir Koksal

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  1. Mehmet Emir Koksal
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Correspondence to Mehmet Emir Koksal.

Additional information

This study was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the Project No. 115E952.

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Koksal, M.E. Transitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems. Circuits Syst Signal Process 38, 1385–1395 (2019). https://doi.org/10.1007/s00034-018-0911-8

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  • DOI: https://doi.org/10.1007/s00034-018-0911-8

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