Finite‐time estimation for a class of systems with unknown time‐delay using modulating functions‐based method

Analyse non standard du bruit

Fliess, M. (2006) · Comptes Rendus Mathématique · doi:10.1016/j.crma.2006.02.037 · Cited by 229

Theory and application of the modulating function method—I. Review and theory of the method and theory of the spline-type modulating functions

Preisig, H. A., & Rippin, D. W. T. (1993) · Computers & Chemical Engineering · doi:10.1016/0098-1354(93)80001-4 · Cited by 142

Exponential convergence of recursive least squares with exponential forgetting factor

JOHNSTONE, R. M., Johnson, C. R., Bitmead, R. R., & Anderson, B. D. O. (1982) · Systems & Control Letters · doi:10.1016/s0167-6911(82)80014-5 · Cited by 130

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Wei, X., Liu, D., & Boutat, D. (2016) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2016.2575830 · Cited by 116

Parameters estimation of systems with delayed and structured entries

Belkoura, L., Richard, J.-P., & Fliess, M. (2009) · Automatica · doi:10.1016/j.automatica.2008.12.026 · Cited by 111

Delay identification in time-delay systems using variable structure observers

Drakunov, S., Perruquetti, W., Richard, J., & Belkoura, L. (2006) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2006.08.001 · Cited by 109

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Liu, D., Laleg‐Kirati, T., Perruquetti, W., & Gibaru, O. (2014) · IFAC Proceedings Volumes · doi:10.3182/20140824-6-za-1003.02036 · Cited by 89

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Wei, Y.-Q., Liu, D., & Boutat, D. (2018) · Automatica · doi:10.1016/j.automatica.2018.10.028 · Cited by 87

Time delay estimation in continuous linear time-invariant systems

Tuch, J., Arie Feuer, B., & Palmor, Z. J. (1994) · IEEE Transactions on Automatic Control · doi:10.1109/9.286261 · Cited by 77

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Jouffroy, J., & Reger, J. (2015) · The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications · doi:10.1109/cca.2015.7320661 · Cited by 70

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Liu, D., & Laleg‐Kirati, T. (2014) · Signal Processing · doi:10.1016/j.sigpro.2014.05.016 · Cited by 65

Robust hierarchical identification of Wiener systems in the presence of dynamic disturbances

Dong, S., Yu, L. J., Zhang, W., & Chen, B. (2020) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2020.02.009 · Cited by 56

Local convergence analysis of the Gauss–Newton method under a majorant condition

Ferreira, O. P., Gonçalves, M. L. N., & Oliveira, P. R. (2010) · Journal of Complexity · doi:10.1016/j.jco.2010.09.001 · Cited by 55

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Aldoghaither, A., Liu, D., & Laleg‐Kirati, T. (2015) · SIAM Journal on Scientific Computing · doi:10.1137/15m1008993 · Cited by 52

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Tutsoy, Ö. (2015) · Asian Journal of Control · doi:10.1002/asjc.1184 · Cited by 47

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Liu, D., Gibaru, O., & Perruquetti, W. (2011) · Mediterranean Conference on Control and Automation (MED) · doi:10.1109/med.2011.5983186 · Cited by 47

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Tutsoy, Ö., & Çolak, Ş. (2015) · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · doi:10.1177/0959651815603910 · Cited by 44

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Yang, R., & Guo, R. (2017) · Asian Journal of Control · doi:10.1002/asjc.1556 · Cited by 41

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Zheng, G., Polyakov, A., & Levant, A. (2017) · Automatica · doi:10.1016/j.automatica.2017.11.033 · Cited by 41

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Pin, G., Chen, B., & Parisini, T. (2019) · Automatica · doi:10.1016/j.automatica.2019.04.048 · Cited by 38

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Formentin, S., Corno, M., Savaresi, S. M., & del Re, L. (2011) · Asian Journal of Control · doi:10.1002/asjc.387 · Cited by 37

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Tian, Y., Wei, Y.-Q., Liu, D., & Boutat, D. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2019.106270 · Cited by 29

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Billings, S. A., Guo, Y., Guo, L., & Wei, H. (2015) · International Journal of Modelling Identification and Control · doi:10.1504/ijmic.2015.067496 · Cited by 23

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Belkoura, L. (2010) · IFAC Proceedings Volumes · doi:10.3182/20100607-3-cz-4010.00073 · Cited by 21

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Gao, Z. (2016) · International Journal of Systems Science · doi:10.1080/00207721.2016.1265159 · Cited by 19

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Wei, Y.-Q., Liu, D., Boutat, D., Liu, H., & Lv, C. (2020) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2020.113161 · Cited by 18

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Asiri, S., Elmetennani, S., & Laleg‐Kirati, T. (2017) · Journal of Solar Energy Engineering · doi:10.1115/1.4037743 · Cited by 15

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Chen, G., & Yang, Y. Y. (2018) · Asian Journal of Control · doi:10.1002/asjc.1883 · Cited by 14

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Barbot, J. P., Zheng, G., Floquet, T., Boutat, D., & Richard, J. (2012) · IFAC Proceedings Volumes · doi:10.3182/20120622-3-us-4021.00032 · Cited by 11

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Marzban, H. R. (2017) · International Journal of Control · doi:10.1080/00207179.2017.1304575 · Cited by 7

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Zhou, Y., Liu, Q., Yang, D., & Guo, S. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10763-z · Cited by 19

Fuzzy adaptive fixed-time control for output-constrained uncertain nonstrict-feedback time-delay systems

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Zhao, M., Gu, C., Zhao, L., & Liu, Y. (2022) · Entropy · doi:10.3390/e24081130 · Cited by 5

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Liu, J., Liu, D., Boutat, D., Liu, H., Li, Y., & Wei, X. (2023) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2023.10.406 · Cited by 4

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Zhang, Y., Liu, D., Boutat, D., & Wei, Y.-Q. (2023) · Chinese Control Conference (CCC) · doi:10.23919/ccc58697.2023.10240842 · Cited by 3

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Elnaggar, A., Dumont, G. A., & Elshafei, A. L. (2003) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.1989.70469 · Cited by 28

Identification methods for time-delay systems based on the redundant rules

Chen, J., Ma, J., Liu, Y., & Ding, F. (2017) · Signal Processing · doi:10.1016/j.sigpro.2017.02.006 · Cited by 28

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Ferreira, A. R., & Fernandes, J. M. (1997) · European Control Conference (ECC) · doi:10.23919/ecc.1997.7082173 · Cited by 9

Parameter Estimation of Delay Systems Via Block Pulse Functions

Shin, Y.-P., Hwang, C., & Chia, W. (1980) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.3139626 · Cited by 55

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Hu, Y., & Wu, J. (2021) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312211022447 · Cited by 2