Robust H reliable control for uncertain switched neutral systems with distributed delays

This paper investigates the robust H∞ reliable control problem for a class of switched neutral systems with distributed delays that involve uncertainties and unknown disturbances. The uncertainties under consideration are norm-bounded, and disturbances are bounded in energy. A robust H∞ reliable state feedback controller is proposed to guarantee that the resulting closed-loop system is exponentially stable with a weighted H∞ disturbance attenuation level γ. The average dwell time approach is utilized for the H∞ performance analysis and controller design, and sufficient conditions are proposed in the form of linear matrix inequalities. Two numerical examples are given to illustrate the effectiveness of the result.