Multilinear Volterra equations of the first kind and some problems of control

Authors:
A. S. Apartsin
Affiliations:
Melent'ev Institute of Power Engineering Systems, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Venue:
Automation and Remote Control
Year:
2008

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Abstract

Elements of the theory of the multilinear Volterra equations of the first kind relying on the notion of corresponding majorant (integral, differential, functional) equations were set forth. The relation between the simplest majorant equations and special problems of dynamic system control was demonstrated.