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


1 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

v_a_stoyan@ukr.net

ON CONSTRUCTION OF INTEGRAL MATHEMATICAL MODELS
OF TWO CLASSES OF NONLINEAR SPATIALLY DISTRIBUTED SYSTEMS.
I. THE CASE OF DISCRETELY DEFINED OUTWARD-DYNAMICAL PERTURBATIONS

Abstract. Problems of pseudoinversion of nonlinear differential models of spatially distributed dynamical system are solved. Systems whose nonlinearity is formed by the product of linear differential transformations of system functional state or by replacing the coefficients of linear approximation by these transformations are considered. Analytic dependencies of system functional state on discretely defined values of outward-dynamical factors are constructed.

Keywords: pseudoinversion, nonlinear dynamical systems, spatially distributed dynamical systems.



FULL TEXT

REFERENCES

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