Identification of the delay parameter for nonlinear time-delay systems with unknown inputs
Identification of the delay parameter for nonlinear time-delay systems with unknown inputs
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DOI：
10.1016/j.automatica.2013.02.020
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
G. Zheng;J. Barbot;D. Boutat
中科院分区：
文献类型：
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作者：
G. Zheng;J. Barbot;D. Boutat
利用非交换环理论，研究了具有未知输入的非线性时滞系统的时滞辨识问题。给出了从所研究的系统导出输出时滞方程的一个充分条件。然后，给出了判断所推导的输出时延方程是否可用于辨识该方程所含时延的充要条件。对于独立输出和独立输出，分别讨论了两种不同的情况。将所得结果应用于生物系统时滞的辨识。
Using the theory of non-commutative rings, this paper studies the delay identification of nonlinear time-delay systems with unknown inputs. A sufficient condition is given in order to deduce an output delay equation from the studied system. Then necessary and sufficient conditions are proposed to judge whether the deduced output delay equation can be used to identify delay involved in this equation. Two different cases are discussed for the dependent and independent outputs, respectively. The presented result is applied to identify delay in a biological system.