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Studying the polynomial volterra equation of the first kind for solution stability

  • Nonlinear Systems
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Abstract

Established were the sufficient conditions for stability in C[0,T] of the continuous solution of the polynomial Volterra equation of the first kind to which comes the problem of automatic control of an open-loop nonlinear dynamic “black box.”

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References

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Authors and Affiliations

  1. Melent’ev Institute of Power Engineering Systems, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

    A. S. Apartsin

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  1. A. S. Apartsin
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Original Russian Text © A.S. Apartsin, 2011, published in Avtomatika i Telemekhanika, 2011, No. 6, pp. 95–102.

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Apartsin, A.S. Studying the polynomial volterra equation of the first kind for solution stability. Autom Remote Control 72, 1229–1236 (2011). https://doi.org/10.1134/S0005117911060099

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