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A numerical method to minimize resource consumption by linear systems with constant delay

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Abstract

A numerical method to minimize the resource consumption by the linear systems with constant time delay in the system phase states was proposed. Its global convergence to the ɛ-optimal solution was proved. By the ɛ-optimal solution is meant the feasible control u(t), t ∈ [0, T], driving the system to the ɛ-neighborhood of the origin and providing a value of the functional that differs from the optimal one at most by ɛ.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    G. V. Shevchenko

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  1. G. V. Shevchenko
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Correspondence to G. V. Shevchenko.

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Original Russian Text © G.V. Shevchenko, 2014, published in Avtomatika i Telemekhanika, 2014, No. 10, pp. 25–38.

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Shevchenko, G.V. A numerical method to minimize resource consumption by linear systems with constant delay. Autom Remote Control 75, 1732–1742 (2014). https://doi.org/10.1134/S0005117914100026

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  • DOI: https://doi.org/10.1134/S0005117914100026

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