References

 


  • Chyzak, F, Quadrat, A. and Robertz, D.,
    Effective algorithms for parametrizing linear control systems over Ore algebras.
    Appl. Algebra Engrg. Comm. Comput., 16 (2005), 319-376.

  • Chyzak, F., Quadrat, A. and Robertz, D.,
    OreModules: A symbolic package for the study of multidimensional linear systems.
    Applications of Time-Delay Systems, J. Chiasson and J.-J.Loiseau (Eds.), Lecture Notes in Control and Information Sciences (LNCIS) 352, Springer, 233-264.

  • Dagher, R., Hubert, E., Quadrat, A.,
    On the general solutions of a rank factorization problem arising in vibration analysis.
    INRIA Research Report n. 9438, submitted for publication ( Inria Report 9438), 2023 (version 2).

  • Hubert, E., Barrau, A., Badaoui, M. E.,
    New multi-carrier demodulation method applied to gearbox vibration analysis. Proceedings of ICASSP, 2018.

  • Hubert, E.,
    Amplitude and phase demodulation of multi-carrier signals: Application to gear vibration signals. PhD thesis, University of Lyon, France, 2019.

  • Hubert, E., Bouzidi, Y., Dagher, R., Barrau, A., Quadrat, A.,
    Algebraic aspects of the exact signal demodulation problem. Proceedings of SSSC & TDS , Sinaia (Romania), 09-11/09/2019 ( paper.pdf ).

  • Hubert, E., Barrau, A., Bouzidi, Y., Dagher, R., Quadrat, A.,
    On a rank factorisation problem arising in gearbox vibration analysis. Proceedings of the 21st IFAC World Congress , Germany, 12-17/07/2020 ( paper.pdf ).

  • Hubert, E., Bouzidi, Y., Dagher, R., Quadrat, A.,
    Centrohermitian solutions of a factorization problem arising in vibration analysis. Part I: Lee's transformation. Proceedings of the European Control Conference 2021 ( paper.pdf ).

  • Hubert, E., Bouzidi, Y., Dagher, R., Quadrat, A.,
    Centrohermitian solutions of a factorization problem arising in vibration analysis. Part II: A coninvolutory matrix approach.
    Proceedings of the European Control Conference 2021 ( paper.pdf ).

  • Hubert, E., Bouzidi, Y., Dagher, R., Quadrat, A.,
    Algebraic aspects of a rank factorization problem arising in vibration analysis.
    Maple in Mathematics Education and Research, Communications in Computer and Information Science, vol. 1414, Springer, 104--118, 2021 ( paper.pdf , Maple and pdf files of the examples).