Dissipative control for state-space symmetric time-delay systems via output feedback

In this paper, the problem of strict quadratic dissipative analysis and control for linear time-delay systems with state-space symmetry is investigated. Firstly, an explicit expression for computing the mixed H_∞ and positive real performance index of time-delay state-space symmetric system is given. Next, an explicit parametrization solution for the static output feedback controllers gain is derived with respect to the stability and quadratic dissipativity of the closed-loop system. Finally, some numerical examples are provided to illustrate the efficiency of the proposed approach.