Abstract
We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the “input-output” type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.
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Original Russian Text © D.N. Sidorov, N.A. Sidorov, 2011, published in Avtomatika i Telemekhanika, 2011, No. 6, pp. 127–132.
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Sidorov, D.N., Sidorov, N.A. Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials. Autom Remote Control 72, 1258–1263 (2011). https://doi.org/10.1134/S0005117911060130
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DOI: https://doi.org/10.1134/S0005117911060130