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

Authors:
S. V. Solodusha
Affiliations:
Melent'ev Institute of Power Engineering Systems, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Venue:
Automation and Remote Control
Year:
2009

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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.