Abstract: For a class of neutral delay linear systems, a new Luenberger-Like observer is proposed based on Lyapunov stability theorem. The problem addressed is to design a full-order observer that guarantees the asymptotic stability of the error dynamic system. An effective linear matrix inequation approach is developed to solve this problem. Finally, an illustrative example is used to demonstrate the validity of the proposed design method.

Key words: linear matrix inequation, neutral delay systems, observer