Analysis of persistent bounded disturbance rejection for neutral delay systems

Abstract-This paper deals with the problem of persistent bounded disturbance rejection for uncertain neutral delay systems. Using Lyapunov-Krasovskii functional method, we establish sufficient conditions in terms of linear matrix inequality (LMI) that simultaneously ensure ρ-performance and stability (delay-dependent and delay-independent). Particulary, for the delay-dependent case, an estimation of admissible maximum delay bound is established in terms of a generalized eigenvalue problem which can be solved with the efficient LMI toolbox. Similarly, we study the corresponding problem for the neutral delay systems with norm uncertainty. Finally, a numerical example is worked out to illustrate the efficiency of the proposed approach.