Methods for determining the qualitative character¬istics of dynamic systems models

The assessment criteria of observability, controllability, parametric identifiability for linear stationary and non-stationary systems, as well as for non-linear systems, are introduced. Some known approaches to solving problems of determining the degree of observability, controllability, parametric identifiability and adaptability of linear and nonlinear models of dynamical systems are considered. Keywords model of a dynamic object; structural properties; quality characteristics; degree of controllability; degree of observability; degree of parametric identifiability; degree of adaptability

Quantitative assessment of the identifiability of pipeline systems★The research was carried out within the project III.17.4.3 of the Fundamental research program of SB RAS (AAAA-A17-117030310437-4)

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.