Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method

Статья конференции

Solodusha S.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings.

DOI: 10.1109/CNSA.2017.7974016

ISBN: 9 781 509 062 607

2017

A known approach to the mathematical modeling of nonlinear dynamic systems (objects) of input-output type is based on the Volterra integro-power series. In this paper consideration is given to a numerical method of solving one class of systems of Volterra nonlinear integral equations which are associated with the problem of automatic control of a dynamic object with vector input and output. The algorithms to numerically solve these systems of equations are based on the Newton-Kantorovich method. Specific features of the algorithms are illustrated on the model examples. Reference dynamic system is represented by a mathematical model of transient process in the heat exchanger element. © 2017 IEEE.

Библиографическая ссылка

Solodusha S. Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method // 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. 2017. ISBN (print): 9 781 509 062 607. DOI: 10.1109/CNSA.2017.7974016

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