Determining the Exact Boundary of the Stability Domain of a Class of Dynamical Systems

摘要

Consideration is given to the method for constructing by means of D -partition the exact boundary of the stability domain for a class of dynamical systems. This method excludes constructing the curve of D -partition, the need for Neimark hatching and provides a machine implementation of stability domain construction. Numerical examples illustrate the effectiveness of the proposed approach.