Geodesic
Reconstruction of time-delay systems under external periodic driving
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 4, pp. 613-626

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A method is proposed for the reconstruction of first-order time-delay systems under external periodic driving from their time series. The method takes into account the structure of the model equation of the system, while constructing the autoregressive model. The proposed method allows one to reconstruct the delay time, the parameter characterizing the system inertial properties, the nonlinear function, and the amplitude and frequency of the external periodic driving. The method efficiency is demonstrated in a numerical experiment by reconstructing a number of different nonautonomous time-delay systems.
Keywords: reconstruction of model equations, time-delay systems, time series analysis. 
@article{ND_2013_9_4_a0,
     author = {M. V. Sysoeva and V. I. Ponomarenko and M. D. Prokhorov and I. V. Sysoev},
     title = {Reconstruction of time-delay systems under external periodic driving},
     journal = {Russian journal of nonlinear dynamics},
     pages = {613--626},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2013_9_4_a0/}
}
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M. V. Sysoeva; V. I. Ponomarenko; M. D. Prokhorov; I. V. Sysoev. Reconstruction of time-delay systems under external periodic driving. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 4, pp. 613-626. http://geodesic.mathdoc.fr/item/ND_2013_9_4_a0/