Reduced-order H∞ filter design for singular neutral systems with distributed delay

The reduced-order H-infinity filtering problem for singular neutral systems with distributed delay is investigated in this paper. The Lyapunov stability theory and linear matrix inequality (LMI) approach are proposed to design a reduced-order H-infinity filter such that the filtering system remains asymptotically stable and the bound of H-infinity norm is less than a given level gamma. Moreover, an explicit parametrization of all desired reduced-order filters is presented when these sufficient conditions are feasible. Finally, a numerical example is given to show the feasibility and effectiveness of the method.