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Identification models of a one-dimensional space-time process

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Abstract

Problems of constructing linear and polynomially nonlinear mathematical models are solved for distributed space-time processes with discretely-continuously observable states under distributed space-time perturbations that create such states. The cases of exact and optimal (with respect to the mean-square criterion) identification of kernels of such models are considered. The identifiability conditions are specified for the process and accuracy conditions are established for its mathematical models.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. V. Skopetskii

  2. Taras Shevchenko National University, Kyiv, Ukraine

    V. A. Stoyan

Authors
  1. V. V. Skopetskii
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  2. V. A. Stoyan
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Corresponding authors

Correspondence to V. V. Skopetskii or V. A. Stoyan.

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__________

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 111–128, September–October 2007.

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Skopetskii, V.V., Stoyan, V.A. Identification models of a one-dimensional space-time process. Cybern Syst Anal 43, 704–718 (2007). https://doi.org/10.1007/s10559-007-0096-9

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  • DOI: https://doi.org/10.1007/s10559-007-0096-9

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