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Properties of nonlinear confidence estimates for statistically uncertain systems

  • Estimation in Systems
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Abstract

Consideration is given to the problem of confidence estimation for statistically uncertain systems with observation, i.e., for systems in the description of which there are both random perturbations with known distributions and unknown perturbations with the information only about domains of their possible values. Confidence estimates for a state of the system are designed according to the earlier proposed method based on the use of random information sets. The behavior of confidence sets when variances of nonrandom perturbations tend to zero and sets of uncertainty of random perturbations contract to a point is studied.

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Authors and Affiliations

  1. Ural State Academy of Railway Transport, Yekaterinburg, Russia

    N. V. Medvedeva & G. A. Timofeeva

Authors
  1. N. V. Medvedeva
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  2. G. A. Timofeeva
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Additional information

Original Russian Text © N.V. Medvedeva, G.A. Timofeeva, 2007, published in Avtomatika i Telemekhanika, 2007, No. 10, pp. 166–174.

This work was supported by the Russian Foundation for Basic Research, project no. 05-01-00434.

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Medvedeva, N.V., Timofeeva, G.A. Properties of nonlinear confidence estimates for statistically uncertain systems. Autom Remote Control 68, 1881–1889 (2007). https://doi.org/10.1134/S0005117907100141

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  • DOI: https://doi.org/10.1134/S0005117907100141

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