Dynamic output feedback H∞ control for uncertain neutral systems

This note is concerned with the H_∞ control for a class of uncertain neutral systems via dynamic output feedback. In the frame of Lyapunov stability theory, in view of the nonlinearity on certain matrix variables, a mathematical technique is developed to obtain a criterion in terms of linear matrix inequalities for the existence of the anticipated controller. The parameterized characterization of the controller is achieved by solving some algebraic equations and LMIs. Besides, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example is included to illustrate effectiveness of the proposed method.