Pseudoinversion of the Mathematical Models of Distributed Differential Systems with Additive Definite Nonlinearity

Abstract

The author considers spatially distributed dynamic systems whose linear mathematical model is complemented by a nonlinear differential term, obtained as the product of linear differential transformations of state function or by replacing such transformations of coefficients of the linear approximation of the model. Pseudoinversions of the considered mathematical models, which are consistent with their differential representation according to the root-mean-square criteria, are generated.

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Correspondence to V. A. Stoyan.

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Translated from Kibernetyka ta Systemnyi Analiz, No. 1, January–February, 2021, pp. 77–93.

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Stoyan, V.A. Pseudoinversion of the Mathematical Models of Distributed Differential Systems with Additive Definite Nonlinearity. Cybern Syst Anal 57, 66–81 (2021). https://doi.org/10.1007/s10559-021-00330-4

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Keywords

  • pseudoinversion
  • nonlinear dynamic systems
  • distributed-parameter systems
  • spatially distributed dynamic systems