How stable is a fuzzy linear system?
Hung T. Nguyen, Владик Крейнович · 1994
One of the main problems to which control is applied is stabilizing a plant. In this case, it is sufficient to consider only small deviations from the ideal state. For small deviations, the dynamics of the plant can be described by linear differential equations. In many real-life cases, however, we do not know the exact values of the coefficients that describe the plant's dynamics. In the present paper, we describe the relevant mathematical problem and the standard stability techniques of control theory, and present an algorithm that estimates the desired degree of belief. In other words, this algorithm describes how stable is a given fuzzy linear systems.>