Design of a dynamic output feedback controller for a class of neutral systems with discrete and distributed delays

The design problem for a dynamic output feedback controller for asymptotic stabilisation of a class of neutral delay differential systems with discrete and distributed time delays is investigated. A criterion for the existence of such controllers is derived based on the matrix inequality approach combined with the Lyapunov method. A parameterised characterisation of the controllers is given in terms of the feasible solutions to the certain matrix inequalities, which can be solved by various convex optimisation algorithms. A numerical example is given to illustrate the availability of the proposed results.