The Practical Stability Of A Class Of Neutral Systems With Time-Delay

The study of the time-delay systems of neutral type became a hot issue and had attracted more and more researchers.The study of these systems,which contain not only information of the past state but also information of the derivative of the past state has important theoretical significance and application value. Recently,the study of the neutral systems has offered better theoretical basic and means for dealing with practice.In this paper,the problem of practical stability for neutral delay systems based on LMIs are deeply investigated and analyzed on the ground of the summarization of the popular methods.The main works are organized as following:Firstly, the problem of practical stability for a class of neutral delay system with uncertainties is studied. A sufficient condition for the practical stability of the system is derived on the basis of Lyapunov stability theory and linear matrix inequalities method.Secondly, the practical stability for a class of neutral delay system with time-varying delay is discussed. In this situation, the time-varying delay increases the complexity of the research. so a sufficient condition is presented for the system through limiting the time-varying delay.Finally, we have studied the practical stability for the singularly system with time-delay by constructing Lyapunov function and linear matrix inequalities approach.