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Parameters Identification and Synchronization of Chaotic Delayed Systems Containing Uncertainties and Time-Varying Delay

机译:不确定时变时滞混沌系统的参数辨识与同步

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摘要

Time delays are ubiquitous in real world and are often sources of complex behaviors of dynamical systems. This paper addresses the problem of parameters identification and synchronization of uncertain chaotic delayed systems subject to time-varying delay. Firstly, a novel and systematic adaptive scheme of synchronization is proposed for delayed dynamical systems containing uncertainties based on Razumikhin condition and extended invariance principle for functional differential equations. Then, the proposed adaptive scheme is used to estimate the unknown parameters of nonlinear delayed systems from time series, and a sufficient condition is given by virtue of this scheme. The delayed system under consideration is a very generic one that includes almost all well-known delayed systems (neural network, complex networks, etc.). Two classical examples are used to demonstrate the effectiveness of the proposed adaptive scheme.
机译:时间延迟在现实世界中无处不在,通常是动力系统复杂行为的来源。本文研究了时变时滞不确定混沌系统的参数辨识与同步问题。首先,针对Razumikhin条件和泛函微分方程的扩展不变性原理,提出了一种具有不确定性的时滞动力系统的新型系统自适应同步方案。然后,将所提出的自适应方案用于从时间序列估计非线性时滞系统的未知参数,并利用该方案给出了充分的条件。正在考虑的延迟系统是一种非常通用的系统,其中包括几乎所有众所周知的延迟系统(神经网络,复杂网络等)。两个经典的例子被用来证明所提出的自适应方案的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第1期|p.30.1-30.15|共15页
  • 作者

    Zhongkui Sun; Xiaoli Yang;

  • 作者单位

    Department of Applied Mathematics, Northwestern Polytechnkal University, Xi'an 710072, China Department of Physics, University of Potsdam, Postfach 601553,14415 Potsdam, Germany;

    rnCollege of Mathematics and Information Science, Shaan'xi Normal University, Xi'an 710062, China;

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