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

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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.

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Original Russian Text © S.V. Solodusha, 2009, published in Avtomatika i Telemekhanika, 2009, No. 4, pp. 110–118.

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Solodusha, S.V. A class of systems of bilinear integral Volterra equations of the first kind of the second order. Autom Remote Control 70, 663–671 (2009). https://doi.org/10.1134/S0005117909040122

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  • DOI: https://doi.org/10.1134/S0005117909040122

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