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Optimal Control for a System on a Unit Simplex in Infinite Time

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Abstract

Optimal control for a semilinear system of first-order partial differential equations in infinite time is studied. The values of control variables belong to a finite-dimensional unit simplex at every instant at every point of the space. Necessary and sufficient conditions for the quality criterion of optimal control to be absolutely maximal are formulated.

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Authors and Affiliations

  1. Nizhni Novgorod State University, Nizhni Novgorod, Russia

    O. A. Kuzenkov & E. A. Ryabova

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  1. O. A. Kuzenkov
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  2. E. A. Ryabova
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Translated from Avtomatika i Telemekhanika, No. 10, 2005, pp. 70–79.

Original Russian Text Copyright © 2005 by Kuzenkov, Ryabova.

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Kuzenkov, O.A., Ryabova, E.A. Optimal Control for a System on a Unit Simplex in Infinite Time. Autom Remote Control 66, 1594–1602 (2005). https://doi.org/10.1007/s10513-005-0193-z

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  • DOI: https://doi.org/10.1007/s10513-005-0193-z

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