Examples of Testing Global Identifiability with the DAISY Software
Examples of Testing Global Identifiability with the DAISY Software
复制标题
使用 DAISY 软件测试全局可识别性的示例
DOI：
10.3182/20090706-3-fr-2004.00007
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
L. D'Angiò
中科院分区：
文献类型：
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作者：
M. Saccomani;L. D'Angiò
DAISY（Differential Algebra for Identifiability of Systems）是一个新开发的计算机代数软件工具，它可以自动检验由多项式或有理函数微分方程描述的（线性和）非线性动态模型的全局可辨识性。全局可辨识性是模型辨识的一个基本前提，它不仅对生物或医学系统很重要，而且对许多由第一性原理导出的物理和工程系统也很重要。该软件不需要理解基本的数学原理，可以由具有最低数学背景的应用领域的研究人员使用。我们说明了DAISY软件检查的先验全局可识别性的两个基准非线性模型从文献中。这两个例子的分析包括与其他方法的比较，并演示了如何识别分析是由这个工具简化。它包括一些具体方面的讨论，例如在测试可识别性的可观测性和初始条件的知识的作用。本文的主要重点不是在描述的数学背景的算法，这已在其他地方，但说明其使用和它的一些更有趣的功能。DAISY可在网站http://www.dei.unipd.it/~pia/上查阅。
Abstract DAISY (Differential Algebra for Identifiability of SYstems) is a recently developed computer algebra software tool which can be used to automatically check global identifiability of (linear and) nonlinear dynamic models described by differential equations involving polynomial or rational functions. Global identifiability is a fundamental prerequisite for model identification which is important not only for biological or medical systems but also for many physical and engineering systems derived from first principles. The software does not require understanding of the underlying mathematical principles and can be used by researchers in applied fields with a minimum of mathematical background. We illustrate the DAISY software by checking the a priori global identifiability of two benchmark nonlinear models taken from the literature. The analysis of these two examples includes comparison with other methods and demonstrates how identifiability analysis is simplified by this tool. It includes discussion of some specific aspects related for example to the role of observability and knowledge of initial conditions in testing identifiability. The main focus of this paper is not on the description of the mathematical background of the algorithm, which has been presented elsewhere, but on illustrating its use and on some of its more interesting features. DAISY is available on the web site http://www.dei.unipd.it/~pia/ .