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Finite-dimensional guides for conflict-controlled linear systems of neutral type

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Abstract

We develop approximations to systems of functional-differential equations of the neutral type by ordinary differential equations as applied to conflict control problems. We develop and justify a procedure of mutual feedback tracking between the motion of the original conflict-controlled plant described by linear functional-differential equations of neutral type and the motion of the modeling guide plant described by ordinary differential equations.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    A. R. Plaksin

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  1. A. R. Plaksin
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Correspondence to A. R. Plaksin.

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Original Russian Text © A.R. Plaksin, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 3, pp. 402–412.

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Plaksin, A.R. Finite-dimensional guides for conflict-controlled linear systems of neutral type. Diff Equat 51, 406–416 (2015). https://doi.org/10.1134/S0012266115030118

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