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On one conflict control problem with imperfect delayed information

  • Mathematical Game Theory and Applications
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Abstract

For a conflict-controlled dynamical system, we consider the problem of optimal feedback control with imperfect information about dynamic disturbance and with imperfect delayed information about values of a phase variable that characterizes the current state of the system. The problem is formalized as a two-player antagonistic differential game. In solving the problem, the method of program stochastic synthesis and the method of extremal shift to accompanying points are used. An optimal control strategy is established.

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References

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Authors and Affiliations

  1. Ural Federal University, Yekaterinburg, Russia

    A. N. Krasovskii & A. N. Ladeyshchikov

Authors
  1. A. N. Krasovskii
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  2. A. N. Ladeyshchikov
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Correspondence to A. N. Krasovskii.

Additional information

Original Russian Text © A.N. Krasovskii, A.N. Ladeyshchikov, 2011, published in Matematicheskaya Teoriya Igr i Prilozheniya, 2011, No. 2, pp. 23–41.

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Krasovskii, A.N., Ladeyshchikov, A.N. On one conflict control problem with imperfect delayed information. Autom Remote Control 75, 1837–1847 (2014). https://doi.org/10.1134/S0005117914100105

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  • DOI: https://doi.org/10.1134/S0005117914100105

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