Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Structural Identifiability of System with Nonsymmetric Nonlinearities

Version 1 : Received: 10 June 2023 / Approved: 12 June 2023 / Online: 12 June 2023 (04:42:25 CEST)

How to cite: Karabutov, N. On Structural Identifiability of System with Nonsymmetric Nonlinearities. Preprints 2023, 2023060757. https://doi.org/10.20944/preprints202306.0757.v1 Karabutov, N. On Structural Identifiability of System with Nonsymmetric Nonlinearities. Preprints 2023, 2023060757. https://doi.org/10.20944/preprints202306.0757.v1

Abstract

The complexity of objects and control systems increases the requirements for mathematical models. The structural identifiability (SI) assessment of nonlinear systems is one of the identification problems. Until now, this problem solves by parametric methods using various approximation methods. This approach is not always effective under uncertainty. We apply an approach to SI estimation based on the analysis of virtual structures. The requirements form for the system input based on the expansion of the excitation constancy property and S-synchronizability. The approach generalization to structural identifiability used in the analysis of systems with symmetric nonlinearity is given. homothety and identifiability conditions for systems with non-symmetric nonlinearities (SNN) obtained. The detectability and recoverability proofed for virtual frameworks (VF) guaranteed the SI estimation under uncertainty. The conditions under which the non-symmetric nonlinearity is hypothetical symmetric nonlinearity obtained. SI estimation examples considered for closed nonlinear systems under uncertainty.

Keywords

nonsymmetric nonlinearity; nonlinear dynamical system; virtual structure; S-synchronizability; excitation constancy; homotety; feedback; structural identifiability

Subject

Engineering, Control and Systems Engineering

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