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Variable-, Fractional-Order Oscillation Element

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

The dynamic properties of the variable-, fractional-order oscillation element (VFOOE) are investigated in the paper. The equations and the block diagram are derived. Stability and existence conditions of solutions of proposed systems are considered. For the illustration numerical examples are presented.

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References

  1. Agrawal, O., Machado, J.T., Sabatier, J.: Fractional Derivatives and Their Application: Nonlinear Dynamics. Springer, Berlin (2004)

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Acknowledgments

This research was partially supported by the grant S/WI/1/2016 of the Polish Ministry of Science and Higher Education.

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Correspondence to Dorota Mozyrska .

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Mozyrska, D., Ostalczyk, P. (2017). Variable-, Fractional-Order Oscillation Element. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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