Adaptive identification of time delays in nonlinear dynamical models.
Adaptive identification of time delays in nonlinear dynamical models.
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DOI：
10.1103/physreve.82.066210
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发表时间：
2010-12
期刊：
影响因子：
--
通讯作者：
Huanfei Ma;Bing Xu;Wei Lin;Jianfeng Feng
中科院分区：
文献类型：
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作者：
Huanfei Ma;Bing Xu;Wei Lin;Jianfeng Feng
本文提出了一种自适应同步策略，用于辨识非线性动力学模型中的离散时滞和分布时滞。与文献中的参数估计的自适应技术相比，这里开发的自适应策略的时间延迟识别邀请更精确的结果，具有物理和动力学的重要性。通过分析和数值计算发现，具有渐近稳定稳态的模型中的分布时滞可以自适应辨识，这与离散时滞辨识的情况不同。其他方面的战略发展，在这里，时间延迟识别，说明了几个有代表性的动态模型。除了玩具模型及其生成的数据的插图外，所开发的策略与实验数据一起使用，以在描述Notch信号分子的信使RNA（mRNA）转录的模型中识别称为转录延迟的时间延迟。
This paper develops an adaptive synchronization strategy to identify both discrete and distributed time delays in nonlinear dynamical models. In contrast with adaptive techniques for parameter estimation in the literature, the adaptive strategy developed here for time-delay identification invites more precise results that have physical and dynamical importance. It is analytically and numerically found that distributed time delays in a model with an asymptotically stable steady state can be adaptively identified, and which is different from the case of discrete time-delays identification. Other aspects of the strategy developed here, for time-delay identification, are illustrated by several representative dynamical models. Aside from illustrations for toy models and their generated data, the strategy developed is used with experimental data, to identify a time delay, called transcriptional delay, in a model describing the transcription of messenger RNAs (mRNAs) for Notch signaling molecules.