S. V. Solodusha, “A class of systems of bilinear integral Volterra equations of the first kind of the second order”, Avtomat. i Telemekh., 2009, Issue 4,Pages <nobr>110

This article is cited in 8 papers

Approximate and Numerical Methods

A class of systems of bilinear integral Volterra equations of the first kind of the second order

S. V. Solodusha

Melent'ev Institute of Power Engineering Systems, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

Abstract: A class of bilinear systems of integral Volterra equations of the first kind related to the problem of automatic control of a nonlinear dynamic system (object) with unknown structure and vector input and output is studied. Algorithms for an analytic solution to corresponding bilinear systems and its numerical approximation are developed. A special character of the algorithms is illustrated by model examples.

PACS: 02.30.Rz

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008