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Cybernetics and Systems Analysis

, Volume 55, Issue 5, pp 805–816 | Cite as

Constructing Integral Mathematical Models of Two Classes of Nonlinear Spatially Distributed Systems. I. The Case of Discretely Defined External-Dynamic Perturbations

  • V. A. StoyanEmail author
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Abstract

Problems of pseudoinversion of nonlinear differential models of spatially distributed dynamic systems are solved. Systems whose nonlinearity is formed by the product of linear differential transformations of the function of system’s state or by replacing the coefficients of linear approximation by these transformations are considered. Analytic dependences of the function of system’s state on discretely defined values of external-dynamic factors are constructed.

Keywords

pseudoinversion nonlinear dynamic systems spatially distributed dynamic systems 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Taras Shevchenko National University of KyivKyivUkraine

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