S-synchronization and Excitation Constancy in Structural Identifiability Problem of Nonlinear Systems

Identifiability and excitation of linearly parametrized rational systems

This paper establishes identifiability and informativity conditions for a class of deterministic linearly parametrized rational models. The class considered is rational in the states and polynomial in the inputs. The standard definitions of identifiability and informativity for linear systems are expanded to account for the situation, common for nonlinear deterministic systems, where the identi...

Structural Identifiability of Viscoelastic Mechanical Systems

We solve the local and global structural identifiability problems for viscoelastic mechanical models represented by networks of springs and dashpots. We propose a very simple characterization of both local and global structural identifiability based on identifiability tables, with the purpose of providing a guideline for constructing arbitrarily complex, identifiable spring-dashpot networks. We...

Structural Identifiability of Dynamic Systems Biology Models

A powerful way of gaining insight into biological systems is by creating a nonlinear differential equation model, which usually contains many unknown parameters. Such a model is called structurally identifiable if it is possible to determine the values of its parameters from measurements of the model outputs. Structural identifiability is a prerequisite for parameter estimation, and should be a...

Structural Identifiability of some Biotechnological Systems

In this paper we present an algorithm for nonlinear continuous-time model structural identifiability analysis. The method can be included in the transformation of nonlinear models framework of structural identifiability analysis and is based on test functions from distribution theory. So, the nonlinear continuous-time models are transformed in linear in parameters models by replacing the state ...

Phase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method