Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

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Ponomarenko V. I., Prokhorov M. D., Navrotskaya E. V. Method of Time-Delay Systems Recovery from Time Series with Known Type of Model Equation. Izvestiya of Saratov University. Physics , 2011, vol. 11, iss. 2, pp. 72-78. DOI: 10.18500/1817-3020-2011-11-2-72-78

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Language: 
Russian
Heading: 
Physics
Article type: 
Article
UDC: 
537.86
DOI: 
10.18500/1817-3020-2011-11-2-72-78

Method of Time-Delay Systems Recovery from Time Series with Known Type of Model Equation

Autors: 
Ponomarenko Vladimir Ivanovich, Saratov Branch of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences
Prokhorov Mikhail Dmitrievich, Saratov Branch of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences
Navrotskaya Elena Vladimirovna, Saratov State University
Abstract: 

We propose the method for the reconstruction of firstorder timedelay systems from their time series. The method is based on taking into account the type of the system equation at the regression model construction. The method allows one to recover the delay time, the parameter characterizing the inertial properties of the system and the nonlinear function. It can be applied to the recovery of timedelay systems performing chaotic and periodic oscillations.

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Received: 
25.10.2011
Accepted: 
25.10.2011
Published: 
25.11.2011
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