Andruckin A.I.

The well-known problem of determining the stability and correctness of the solutions of tasks with variable parameters and initial values considered in the article. The objectives of the study was to analyze the properties of solutions of known problems, such as stability control solutions, stability and accuracy of the solution. These problems are connected with the problem of the calculation of multiple roots of the characteristic polynomial. Option with characteristic polynomial coefficients of variation at a multiple zero roots is especially important.Visual computer analysis of their correctness showed the need for careful analysis of each specific problem. Influence management structure of the efficiency of its operation is considered. Analysis of the structure of base-level systems are executed. These subsystems are the basis for hierarchical systems. Numerical simulation results are presented. For the first time a method is proposed to improve the accuracy of the parallel simulation on the switch level. Theoretical knowledge and practical aspects of the method and an example of its use are considered. The calculations use mathematical Maple and Mathematica packages. The main conclusion of this study is the need for a thorough analysis of each specific problem to assess the parametric stability and sensitivity of the solution. Visual results of computer simulations are presented. Keywords: modeling, structure, system, efficiency parallel simulation, the switch level, accuracy

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