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Avtomatika i Telemekhanika, 2009, Issue 4, Pages 41–47
(Mi at449)
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This article is cited in 4 scientific papers (total in 4 papers)
Systems with Distributed Parameters
Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models
N. A. Sidorova, D. N. Sidorovb a Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
b Melent'ev Institute of Power Engineering Systems, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Abstract:
Classes of nonlinear integral Volterra equations occurring in identifying dynamic systems are studied. A solution to a nonlinear system of integral Volterra equations of the first kind is constructed in the class of generalized functions with a point support in the form of a sum of singular and regular parts. In obtaining a singular part of the solution, a determined system of linear algebraic equations is used. The method of sequential approximations together with the method of undetermined coefficients allow constructing a regular part. Theorems of existence and uniqueness of generalized solutions are proved.
Citation:
N. A. Sidorov, D. N. Sidorov, “Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models”, Avtomat. i Telemekh., 2009, no. 4, 41–47; Autom. Remote Control, 70:4 (2009), 598–604
Linking options:
https://www.mathnet.ru/eng/at449 https://www.mathnet.ru/eng/at/y2009/i4/p41
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Statistics & downloads: |
Abstract page: | 528 | Full-text PDF : | 155 | References: | 83 | First page: | 4 |
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