The Spectral Method for Analysis of Non-linear Systems With Random Structure


Vuong Anh Trung, Cu Thanh Phong, Nguyen Van Thinh,Vu Duc Hoan, Trieu Duc Ha, Nguyen Trung Minh


Viet Nam Air defence -Air force Academy

Corresponding Author Email: [email protected]

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

A new approach to solving the problem of probabilistic analysis of multidimensional non-linear systems with random changes in structure using the spectral form of the mathematical description of control systems is considered in this paper. The approach is based on the representation of functions by a set of their expansion coefficients into a generalised Fourier series. The effectiveness of the proposed method is demonstrated by solving the problem of analysing a relay control system subjected to random external influences, taking into account a possible break in the feedback.