Abstract

This article is about robust stable control system for objects with uncertain parameters with an approach to the choice of control laws in the class of four parametric structurally stable mappings, which allow increasing the robust stability potential and the quality of the control system. This article presents robust stability of a system with one input and one output in the class of catastrophe functions "parabolic umbilic". To study the robust stability of stationary states of the system, the main provisions of the Lyapunov function method are used.