Dynamical Output Feedback Control for Distributed-delay Systems

The dynamical output feedback controller design for systems with distributed delay is concerned in this paper. Firstly, model transformation of the closed-loop system is used and a proper Lyapunov-Krsovskii functional is constructed, by which the stability criterion is obtained in terms of nonlinear matrices inequality, which guarantees the asymptotical stability of closed-loop system. Secondly, the parameterization of controller is used and the delaydependent design condition of the desired controller is established in terms of linear matrices inequality. Finally, a simulation is given to illustrate the effectiveness of the proposed method.