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Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications

A. S. Apartsyn, S. V. Solodusha, V. A. Spiryaev

Source Title: International Journal of Energy Optimization and Engineering (IJEOE)2(4)

ISSN: 2160-9500|EISSN: 2160-9543|EISBN13: 9781466635876|DOI: 10.4018/ijeoe.2013100102

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MLA

Apartsyn, A. S., et al. "Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications." IJEOE vol.2, no.4 2013: pp.16-43. http://doi.org/10.4018/ijeoe.2013100102

APA

Apartsyn, A. S., Solodusha, S. V., & Spiryaev, V. A. (2013). Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications. International Journal of Energy Optimization and Engineering (IJEOE), 2(4), 16-43. http://doi.org/10.4018/ijeoe.2013100102

Chicago

Apartsyn, A. S., S. V. Solodusha, and V. A. Spiryaev. "Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications," International Journal of Energy Optimization and Engineering (IJEOE) 2, no.4: 16-43. http://doi.org/10.4018/ijeoe.2013100102

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Abstract

The paper presents a review of the studies that were conducted at Energy Systems Institute (ESI) SB RAS in the field of mathematical modeling of nonlinear input-output dynamic systems with Volterra polynomials. The first part presents an original approach to identification of the Volterra kernels. The approach is based on setting special multi-parameter families of piecewise constant test input signals. It also includes a description of the respective software; presents illustrative calculations on the example of a reference dynamic system as well as results of computer modeling of real heat exchange processes. The second part of the review is devoted to the Volterra polynomial equations of the first kind. Studies of such equations were pioneered and have been carried out in the past decade by the laboratory of ill-posed problems at ESI SB RAS. A special focus in the paper is made on the importance of the Lambert function for the theory of these equations.

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Vol. 6, Iss. 1

Process Optimization and NVA Reduction b...

Industrial Informatics; Physical Sciences and Engineering

Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications

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