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For differential equations with r parameters, 2r+1 experiments are enough for identification

机译:对于具有R参数的微分方程,2R + 1实验足以识别

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摘要

Given a set of differential equations whose description involves unknown parameters, such as reaction constants in chemical kinetics, and supposing that one may at any time measure the values of some of the variables and possibly choose external inputs to help excite the system, how many experiments are sufficient in order to obtain all the information that is potentially available about the parameters? This paper shows that the best possible answer (assuming exact measurements) is 2r+1 experiments, where r is the number of parameters. Moreover, a generic set of such experiments suffices. [References: 43]
机译:给定一组微分方程,其描述涉及未知参数,例如化学动力学中的反应常数,并且假设一个可以在任何时间测量一些变量的值,并且可能选择外部输入以帮助激发系统,有多少实验 足以获取可能有关参数的所有信息? 本文表明,最佳答案(假设精确测量)是2R + 1实验,其中R是参数的数量。 此外,一组常规的这样的实验足以满足。 [参考:43]

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