Robust H∞ control for impulsive switched complex delayed networks

In this paper, the robust H∞ control problem of impulsive switched complex delayed dynamical networks with input constraints is investigated. By the multiple Lyapunov functions theory, sufficient condition is developed to ensure robustly global stability and a prescribed H∞ disturbance attenuation level for the resulting closed-loop networks in terms of linear matrix inequalities (LMIs). A convex optimization problem is formulated to determine the optimal state feedback H∞ controller which guarantees the optimal H∞ disturbance attenuation level. Numerical examples are given to illustrate the effectiveness of the proposed method.