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Methods of Linear Algebra in the Analysis of Certain Classes of Nonlinear Discretely Transformative Systems. II. Systems with Additively Selected Nonlinearity

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Abstract

Pseudo-solutions of discretely transformative systems are generated; their linear part is complemented with nonlinearities obtained after the Cartesian transformation of input vector or iterative specification of matrix kernel of the transformer. Sets of root-mean-square approximations to inversion of mathematical model of the transformer are analyzed for accuracy and uniqueness. Quadratically nonlinear systems and systems with arbitrary order of nonlinearity are considered.

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References

  1. V. A. Stoyan, “Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. I. Multiplicative nonlinear systems,” Cybern. Syst. Analysis, Vol. 55, No. 1, 109–116 (2019).

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    V. A. Stoyan

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  1. V. A. Stoyan
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Correspondence to V. A. Stoyan.

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2019, pp. 102–107.

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Stoyan, V.A. Methods of Linear Algebra in the Analysis of Certain Classes of Nonlinear Discretely Transformative Systems. II. Systems with Additively Selected Nonlinearity. Cybern Syst Anal 55, 259–264 (2019). https://doi.org/10.1007/s10559-019-00130-x

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  • DOI: https://doi.org/10.1007/s10559-019-00130-x

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