Method of the stability control for a class of the generalized interval systems

In this paper, the stability of a class of generalized interval systems is studied. For the uncertainties of the interval system by itself, when we study, we have three processes to flow. Firstly, the generalized interval systems should be converted into the generalized uncertain systems; secondly, the generalized Lyapunov function is employed to study the stability of the generalized interval systems after the process one. Thirdly, some equivalent sufficient conditions about the stability of the generalized interval systems are given. At last, some examples are given in order to explain the feasibility of the theory in this text.