Публикации

Quantitative assessment of the identifiability of pipeline systems

Статья конференции
Novitsky N.N., Grebneva O.A.
2018 Conference on Mathematical Models and Methods of the Analysis and Optimal Synthesis of the Developing Pipeline and Hydraulic Systems
E3S Web of Conferences. Vol.39. ID: 03004.
2018
The article is devoted to the issues of quantitative assessment of the identifiability of the pipeline systems (heat, water, gas supply systems etc.). Identifiability is first considered as a complex property, including such particular properties as observability and parametric identifiability. A brief description of the topic relevance and a review of available development in this sphere allow giving the structuring of identifiability analysis problems. The technique of differentiate quantitative analysis of this property is disclosed. It based on the use of analytical expressions for covariance matrices of parameters. New concepts of experimental matrices, parametric identifiability and observability of pipeline systems are introduced. Analytic expressions for these matrices are given. The substantiation of the integral indicators of the pipeline systems identifiability is presented, including the covariance matrix determinant for the estimated parameters and the relative variance of the prediction for non-measurable state parameters. The analytical interrelation of these indicators is opened. These indicators can be accepted in a role of criteria at decision of synthesis problems for optimal measurements composition. © 2018 The Authors, published by EDP Sciences.

Библиографическая ссылка

Novitsky N.N., Grebneva O.A. Quantitative assessment of the identifiability of pipeline systems // E3S Web of Conferences. Vol.39. ID: 03004. 2018. DOI: 10.1051/e3sconf/20183903004

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