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Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control

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Abstract

For linear systems with constrained control and fixed transition time, we propose two methods for solving the resource consumption minimization problem approximately. We prove that the switching moments of resource-quasioptimal controls are independent of the initial conditions and constant for autonomous systems. Some region of the initial conditions is found for which the constraints on the control are never violated.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    V. M. Aleksandrov

  2. Institute of System Dynamics and Control Theory, Ul. Lermontova 134, Irkutsk, 664033, Russia

    V. A. Dykhta

Authors
  1. V. M. Aleksandrov
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  2. V. A. Dykhta
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Correspondence to V. M. Aleksandrov.

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Original Russian Text © V.M. Aleksandrov, V.A. Dykhta, 2011, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2011, Vol. XIV, No. 2, pp. 3–14.

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Aleksandrov, V.M., Dykhta, V.A. Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control. J. Appl. Ind. Math. 5, 467–477 (2011). https://doi.org/10.1134/S1990478911040016

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  • DOI: https://doi.org/10.1134/S1990478911040016

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