Analysis of persistent bounded disturbance rejection for Lurie systems of the neutral type

This paper mainly deals with the problem of persistent bounded disturbance rejection performance and stability for Lurie systems of the neutral delay type. Using the Lyapunov-Krasovskii functional method, we simultaneously develop sufficient conditions on persistent bounded disturbance rejection performance and stability (delay-dependent and delay-independent) in terms of linear matrix inequalities (LMIs). Similarly, we study the corresponding problem for Lurie systems of the neutral type with uncertainties. Finally, a numerical example is given to illustrate the efficiency of the proposed result.