The purpose of this review
is to apply geometric frameworks in identification problems. In contrast to the
qualitative theory of dynamical systems (DSQT), the chaos and catastrophes,
researches on the application of geometric frameworks have not been performed in
identification problems. The direct transfer of DSQT ideas is inefficient through
the peculiarities of identification systems. In this paper, the attempt is made based on the
latest researches in this field. A methodology for the synthesis of geometric
frameworks (GF) is proposed, which reflects
features of nonlinear systems. Methods based on GF analysis are developed for the
decision-making on properties and structure of nonlinear systems. The problem
solution of structural identifiability is obtained for nonlinear systems under uncertainty.
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