Cybernetics and Systems Analysis

, Volume 55, Issue 2, pp 274–283 | Cite as

Factorization in Problems of Control and Dynamics of Lengthy Systems

  • Yu. I. KaliukhEmail author
  • A. Ye. Vusatiuk


A numerical method is developed to solve ill-conditioned quasilinear equations of nonlinear dynamics of lengthy systems (LS). It is based on different types of factorization of the governing equations. As a result of layer-by-layer time decomposition, original singularity disappears and well-conditioned systems of linear equations are solved numerically. An additional positive effect is 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.).


factorization lengthy system control dynamics numerical modeling 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Telecommunications and Global Information Space, National Academy of Sciences of UkraineKyivUkraine

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