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Static feedback versus fractionality of the electrical elements in the Van der Pol circuit

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Abstract

In this paper, it is shown that by benefiting from a static feedback control signal it is possible to reduce the effect of fractionality of the electrical capacitors on the amplitude of the oscillations produced by a Van der Pol circuit. The averaging method is used in this paper for the behavior analysis of the approximated responses of the under study circuits. Numerical simulation results are presented to confirm the effectiveness of the proposed control technique.

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Acknowledgement

This work was supported by Iranian National Science Foundation under grant number 91002517.

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Authors and Affiliations

  1. Faculty of Electrical and Computer Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

    Mahsan Tavakoli-Kakhki

  2. Electrical Engineering Department, Sharif University of Technology, Tehran, Iran

    Mohammad Saleh Tavazoei

Authors
  1. Mahsan Tavakoli-Kakhki
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  2. Mohammad Saleh Tavazoei
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Correspondence to Mahsan Tavakoli-Kakhki.

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Tavakoli-Kakhki, M., Tavazoei, M.S. Static feedback versus fractionality of the electrical elements in the Van der Pol circuit. Nonlinear Dyn 72, 365–375 (2013). https://doi.org/10.1007/s11071-012-0719-1

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  • DOI: https://doi.org/10.1007/s11071-012-0719-1

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