About stability of decisions of systems with variable structure in areas of ambiguity of function of management

In this article the behavior of system with variable structure at which the condition vector from unambiguity areas gets to some moment in $\delta $- vicinities of variety of a rupture of the right part of system is studied and certain time remains in this vicinity. It appears such behavior at values it is possible to model the modes close to an ideal $\delta \to 0$ mode of sliding which actually, as we know, doesn't exist in real systems.