A survey of identifiability problems in dynamical systems
ZENG Zhe-xuan
YUE Zuo-gong
YUAN Ye
Abstract：Identifiability is the property that whether a model can be uniquely determined by observational data,which is systematic studied in economics,biology,chemistry and control.In the past two decades,with the complexity of dynamical systems increasing dramatically,it is becoming more popular to model a system as a dynamical network,and identifiability of dynamical networks is attracting much attention from the academic community.Identifiability is not only a theoretical guarantee for system identification,but also a theoretical guide for experimental design and data collection in modeling.This work reviews identifiability problems of dynamical systems.Firstly,the problems of identifiability and some related definitions are given.Then classical conclusions on the identifiability of linear time-invariant systems.General approaches,such as input-output method and output-equality method,to study the identifiability for nonlinear systems are presented.The problem of identifiability and representative research of dynamical network are introduced for four different cases of excitation and observation matrices.The survey ends with discussions on related problems to be solved in future.
Keywords：identifiabilitydynamical systemsmodel structuresdynamical networksystem identificationnetwork reconstruction
Publication Date：2023-11-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：12( 2007-2018 )