Delay-dependent dissipative control for uncertain linear neutral systems with discrete and distributed delays

This note deals with the problem of delay-dependent dissipative control for uncertain linear neutral systems with discrete and distributed delays. We develop the design method of dissipative static state feedback controller such that the closed-loop system is asymptotically stable and strictly-dissipative. Sufficient conditions for the existence of the quadratic dissipative controller are obtained by using linear matrix inequality (LMI) approach. Furthermore, a procedure of constructing such a controller from the solution of LMIs is given. It is shown that the solvability of a dissipative controller design problem is implied by the feasibility of LMIs.