International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The task of estimating the ranges of permissible changes in the design parameters of a chemical reactor is solved in which the stability property of the monomerization process is retained in it. The solution is based on Ji-guang Sun’s results about the perturbation of the spectrum of the matrix, the elements of which depend on several indeterminate parameters.

The paper considers the problem of determining the boundaries of possible changes of parameters of dynamic system whilst preserving stability of the system. The proposed method for determining such bounders is based on the research on the perturbation theory of matrix eigenvalues which depend on several perturbation parameters (by Ji-guang Sun). The results of this paper are based on the results presented by the authors at III TTOS Conference in May 2015.

In this paper we propose a method of solving inverse stability problem for some classes of non-linear dynamical systems with a small uncertain parameter. The method is based on T. Kato’s perturbation theory of linear operators. We illustrate our method by solving inverse stability problem in the situation of monomerization reaction inside the cascade of chemical reactors.