This article is cited in 3 papers

Automatic control systems modeling by Volterra polynomials

S. V. Solodusha

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk

Abstract: The problem of the existence of the solutions of polynomial Volterra integral equations of the first kind of the second degree is considered. An algorithm of the numerical solution of one class of Volterra nonlinear systems of the first kind is developed. Numerical results for test examples are presented.

Keywords: Volterra equations of the first kind; nonlinear integral inequalities; system of automatic control.

UDC: 517.968+519.64

Received: 22.07.2011