%0 Journal Article
%T Geometrical Frameworks in Identification Problem
%A Nikolay Karabutov
%J Intelligent Control and Automation
%P 17-43
%@ 2153-0661
%D 2021
%I Scientific Research Publishing
%R 10.4236/ica.2021.122002
%X 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 </span><span style=\"font-family:Verdana;\">been </span><span style=\"font-family:Verdana;\">performed in
identification problems. The direct transfer of DSQT ideas is inefficient through
the peculiarities of identification systems. In this paper, the attempt </span><span style=\"font-family:Verdana;\">is </span><span style=\"font-family:Verdana;\">made based on the
latest researches in this field. A methodology for the synthesis of geometric
frameworks (GF) </span><span style=\"font-family:Verdana;\">is </span><span style=\"font-family:Verdana;\">propose</span><span style=\"font-family:Verdana;\">d</span><span style=\"font-family:Verdana;\">, which reflects
features of nonlinear systems. Methods based on GF analysis </span><span style=\"font-family:Verdana;\">are </span><span style=\"font-family:Verdana;\">developed for the
decision-making on properties and structure of nonlinear systems. The problem
solution of structural identifiability </span><span style=\"font-family:Verdana;\">is </span><span style=\"font-family:Verdana;\">obtain</span><span style=\"font-family:Verdana;\">ed</span><span style=\"font-family:Verdana;\"> for nonlinear systems under uncertainty.
%K Framework
%K Nonlinear Dynamic System
%K Phase Portrait
%K Structural Identifi-cation
%K Nonlinearity
%K Structural Identifiability
%K Synchronizability
%K Lag
%K Lya-punov Exponent
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=109107