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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 533.6.013.42
Yu.I. Kaliukh1, A.Ye. Vusatiuk2


1 Institute of Telecommunication and Global Information Space of the National Academy of Sciences of Ukraine, Kyiv

kalyukh2002@gmail.com

2 LLC "Ukrainian Information Systems", Kyiv, Ukraine

avusatiuk@gmail.com

FACTORIZATION IN PROBLEMS OF CONTROL AND DYNAMICS OF LENGTHY SYSTEMS

Abstract. A numerical method for solving ill-conditioned quasilinear equations of nonlinear dynamics of lengthy systems (LS) is developed. It is based on different types of factorization of the defining equations. As a result of layer-by-layer time decomposition, the original singularity disappears, and well-conditioned systems of linear equations are solved numerically. An additional positive effect is the reduction of oscillations and monotonization of the profile of the numerical solution, stability of calculation of complex transient processes in the LS (acceleration, jerking, spatial evolution, nonlinear oscillations, etc.).

Keywords: factorization, lengthy system, control, dynamics, numerical modeling.



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