• Journal of Terahertz Science and Electronic Information Technology
  • Vol. 21, Issue 1, 102 (2023)
ZHANG Yuerong and YUAN Xiao*
Author Affiliations
  • [in Chinese]
  • show less
    DOI: 10.11805/tkyda2020460 Cite this Article
    ZHANG Yuerong, YUAN Xiao. New arbitrary order fractance approximation circuits and new scaling equations[J]. Journal of Terahertz Science and Electronic Information Technology , 2023, 21(1): 102 Copy Citation Text show less
    References

    [1] TANG Y, LI H M, LIN J M. Ring-projection-wavelet-fractal signatures: a novel approach to feature extraction[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998,45(8):1130-1134.

    [2] ZHANG Weiwei, ZHANG Hai, CAO Jinde, et al. Synchronization of delayed fractional-order complex-valued neural networks with leakage delay[J]. Physica A, 2020. doi:10.1016/j.physa.2020.124710.

    [3] SINGH A K. Fractionally delayed Kalman filter[J]. IEEE/CAA Journal of Automatica Sinica, 2020,7(1):169-177.

    [4] KULKARNI P,GRANT S,MORRISON T R,et al. Characterizing the human APOE epsilon 4 knock-in transgene in female and male rats with multimodal magnetic resonance imaging[J]. Brain Research, 2020. doi:10.21203/rs.3.rs-18040/v1.

    [5] USHAKOV P A, MAKSIMOV K O, STOYCHEV S V, et al. Synthesis of elements with fractional-order impedance based on homogenous distributed resistive-capacitive structures and genetic algorithm[J]. Journal of Advanced Research, 2020(25): 275-283.

    [6] DING S, WANG J, ZHENG W X. Second-order sliding mode control for nonlinear uncertain systems bounded by positive functions[J]. IEEE Transactions on Industrial Electronics, 2015,62(9):5899-5909.

    [7] MATHITALAGAN K, SANGEETHA G. Second-order sliding mode control for nonlinear fractional-order systems[J]. Applied Mathematics and Computation, 2020. doi:10.1016/j.amc.2020.125264.

    [8] VALSA J,JIRI V. RC models of a constant phase element[J]. International Journal of Circuit Theory and Applications, 2013,41 (1):59-67.

    [9] GLUSKIN E. One-port composed of power-law resistors[J]. IEEE Transactions on Circuits and Systems II:Express Briefs, 2004, 51(9):464-467.

    [10] ARAIN S,PHOTOS V,ABDUL Q,et al. Reconfigurable BPF with constant centre frequency and wide tuning range of bandwidth [J]. IEEE Transactions on Circuits and Systems II,Express Briefs, 2019,67(8):1374-1378.

    [12] PU Y F, YUAN X, YU B. Analog circuit implementation of fractional-order memristor: arbitrary-order lattice scaling fracmemristor[J]. IEEE Transactions on Circuits and Systems I:Regular Papers, 2018,65(9):2903-2916.

    [16] HUANG C D,HENG L,CHEN X P,et al. Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator-prey model[J]. Physica A:Statal Mechanics and its Applications, 2020. doi:10.1016/j.physa.2020.124136.

    [17] HE Q Y, PU Y F, YU B,et al. Arbitrary-order fractance approximation circuits with high order-stability characteristic and wider approximation frequency bandwidth[J]. IEEE/CAA Journal of Automatica Sinica, 2020,7(5):1-12.

    [18] PU Y F,YUAN X,LIAO K,et al. Structuring analog fractance circuit for 1/2 order fractional calculus[C]// 2005 6th International Conference on ASIC. Shanghai,China:IEEE, 2005. doi:10.1109/ICASIC.2005.1611507.

    ZHANG Yuerong, YUAN Xiao. New arbitrary order fractance approximation circuits and new scaling equations[J]. Journal of Terahertz Science and Electronic Information Technology , 2023, 21(1): 102
    Download Citation