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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, Ukraine

v_a_stoyan@ukr.net

CONSTRUCTION INTEGRAL MATHEMATICAL MODELS OF TWO CLASSES
OF NONLINEAR SPATIALLY DISTRIBUTED SYSTEMS. II. THE CASE OF CONTINUOUSLY
DEFINED EXTERNAL-DYNAMIC PERTURBATIONS

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 continuously defined values of external-dynamic factors are constructed.

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



FULL TEXT

REFERENCES

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  4. Stoyan V.A. Methods of linear algebra in research problems of some classes of nonlinear discretely transforming systems. II. Systems with additively selected nonlinearity. Kibernetika i sistemnyj analiz. 2019. Vol. 55, N 2. P. 102–107.

  5. Stoyan V.A., Dvirnichuk V.B. On constructing the integral equivalent of linear differential models. Dopov. Nac. akad. nauk Ukr. 2012. N 9. P. 36–43.

  6. Skopetsky V.V., Stoyan V.A., Krivonos Yu.G. Mathematical modeling of direct and inverse problems of dynamics of systems with distributed parameters [in Ukrainian]. Kyiv: Nauk. Dumka, 2002. 361 p.

  7. Stoyan V.A. Mathematical modeling of linear, quasilinear, and nonlinear dynamic systems [in Ukrainian]. Kyiv: Kyiv University, 2011. 320 p.
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