Malfunction analysis and safety of mathematical models of technical systems

Abstract

In this article we discuss methods of computing the guaranteed values of the states of a technical system in order to estimate the safety of a technical system. For most models describing the problems of science and technology, it is necessary to analyze the effect of disturbances on the state of an object or system. It is necessary to evaluate the boundaries of the zones of dangerous states and the boundary values of the system parameters. The danger of a system functioning is a threat, possibility, probability of damage, system catastrophe, that is, potential damage to a technical system in certain conditions and situations. An analysis of the boundaries of the safety areas of technical systems helps to obtain quantitative estimates of the possibility of dangerous situations. Used methods are based on the approximation of the shift operator along the trajectory, and taking into account the influence of constantly acting perturbations on the solutions.