Absolute stability to observer design for time delay systems with sector- bounded nonlinearities

This paper deals with the observer design for nonlinear time delay systems. The approach is to represent the observer error system as the feedback interconnection of a linear system and a time varying nonlinearity. The proposed result developed for designing the observer is in term of linear matrix inequalities (LMI) that guarantees the global uniform asymptotic stability of the error dynamic system. Numerical examples are provided to demonstrate the effectiveness of the proposed results.