Design of robust H∞ filter for a class of neutral systems: LMI optimization approach

In this paper, the design method of H∞ filter for a class of neutral delay-differential systems is investigated. A linear matrix inequality (LMI) approach is proposed to design a robust H∞ filter such that the filtering system remains asymptotically stable and the bound of H∞ norm is minimized. The Lyapunov stability theory is used for analysis of the system. A numerical example illustrate the theoretical results.