An approach to the stability study of non-***linear systems in the neighbourhood of a given operating point

In this paper, we study an approach that permit the resolution of stability problems of continuous systems with important disturbances and/or uncertainties. We are interested by determining the attraction zone around an operating point, using the state representation of these systems. We rely on two ideas: the base change that allows for writing simpler system equations, and the determination of overvaluing or comparison systems, using vector norms. Indeed, in literature there are many studies conducted on the systems stability using these two concepts, but here the idea is to conduct the stability study on a specific comparison system rather than the original system. By applying to the comparison system a stability criterion, we can conclude on the attractor and its attraction domain of original system.