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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.6
V.A. Stoyan1


1 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

v_a_stoyan@ukr.net

LINEAR ALGEBRA METHODS IN PROBLEMS OF THE ANALYSIS OF CERTAIN CLASSES
OF NONLINEAR DISCRETELY TRANSFORMATIVE SYSTEMS.
II. SYSTEMS WITH ADDITIONALLY HIGHLIGHTED NONLINEARITY

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 transformer kernel. Sets of root-mean-square approximations to inversion of mathematical model of the transformer are investigated for accuracy and uniqueness. Root-mean-square nonlinear systems and systems with arbitrary order of nonlinearity are considered.

Keywords: pseudo-inversion, nonlinear discretely transformative systems, nonlinear algebraic systems, nonlinear iterative specified systems.



FULL TEXT

REFERENCES

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  2. Kirichenko N.F. Analytical representation of perturbations of pseudoinverse matrices. Kibernetika i sistemnyj analiz. 1997. № 2. С. 98–107.

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  4. Kirichenko N.F., Stoyan V.A. Analytical representation of matrix and integral linear transformations. 1998. № 3. P. 90–104.

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  6. Stoyan V.A. Mathematical modeling of linear, quasilinear and nonlinear dynamical systems. Kyiv: VPTS “Kyyivsʹkyy universytet,” 2011. 320 p.

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