Structure of the diagnostic space in problems of differential diagnostics

In this paper, we discuss the generalized concepts of a malfunction and a neighborhood of a reference malfunction. We introduce the concept of a generalized diagnostic space and examine its mathematical structure, which formalizes the continuity of processes in the diagnostic space. We show that in the diagnostic space, reference malfunctions and the corresponding differential equations are nondegenerate. The generalized problem of differential (topological) diagnostics is considered.