Identification of Parameters of Nonlinear Dynamical Systems Simulated by Volterra Polynomials
- Authors: Boikov I.V.1, Krivulin N.P.1
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Affiliations:
- Penza State University
- Issue: Vol 12, No 2 (2018)
- Pages: 220-233
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213042
- DOI: https://doi.org/10.1134/S1990478918020035
- ID: 213042
Cite item
Abstract
We study the identification methods for the nonlinear dynamical systems described by Volterra series. One of the main problems in the dynamical system simulation is the problem of the choice of the parameters allowing the realization of a desired behavior of the system. If the structure of the model is identified in advance, then the solution to this problem closely resembles the identification problem of the system parameters. We also investigate the parameter identification of continuous and discrete nonlinear dynamical systems. The identification methods in the continuous case are based on application of the generalized Borel Theorem in combination with integral transformations. To investigate discrete systems, we use a discrete analog of the generalized Borel Theorem in conjunction with discrete transformations. Using model examples, we illustrate the application of the developed methods for simulation of systems with specified characteristics.
About the authors
I. V. Boikov
Penza State University
Author for correspondence.
Email: i.v.boykov@gmail.com
Russian Federation, ul. Krasnaya 40, Penza, 440026
N. P. Krivulin
Penza State University
Email: i.v.boykov@gmail.com
Russian Federation, ul. Krasnaya 40, Penza, 440026