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A novel adaptive order/parameter identification method for variable order systems application in viscoelastic soft tissue modeling

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  • Tabatabaei, S. Sepehr
  • Talebi, H.A.
  • Tavakoli, M.

Abstract

This paper presents an adaptive system identification approach to identify the order and parameters of a specific type of variable order systems, which, as a motivating example, describes the stress-strain relation of viscoelastic materials. First, the concept of non-integer order modeling will be introduced. Next, the proposed order/parameter identification approach will be presented. Afterwards, a simulation study is performed to validate the identification approach. Finally, the method will be applied on real data gathered from an experimental study for further validation.

Suggested Citation

  • Tabatabaei, S. Sepehr & Talebi, H.A. & Tavakoli, M., 2017. "A novel adaptive order/parameter identification method for variable order systems application in viscoelastic soft tissue modeling," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 447-455.
    • Handle: RePEc:eee:chsofr:v:102:y:2017:i:c:p:447-455
    DOI: 10.1016/j.chaos.2017.04.005
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    References listed on IDEAS

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    1. S. Sepehr Tabatabaei & Mohammad Javad Yazdanpanah & Sajad Jafari & Julien Clinton Sprott, 2014. "Extensions in dynamic models of happiness: effect of memory," International Journal of Happiness and Development, Inderscience Enterprises Ltd, vol. 1(4), pages 344-356.
    2. Sun, HongGuang & Chen, Wen & Chen, YangQuan, 2009. "Variable-order fractional differential operators in anomalous diffusion modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4586-4592.
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    Cited by:

    1. Tabatabaei, S. Sepehr & Dehghan, Mohammad Reza & Talebi, Heidar Ali, 2022. "Real-time prediction of soft tissue deformation; a non-integer order modeling scheme and a practical verification for the theoretical concept," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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