Guaranteed cost control for neutral large-scale interconnected systems with a class of controller gain perturbations

This paper focuses on the decentralized guaranteed cost control with controller gain perturbations for neutral large-scale interconnected systems. Firstly, the design method based on Lyapunov stability theory is proposed, in which various techniques of decomposing matrices are used and the interconnections with time-varying delays are not counteracted by some constraint conditions. Simultaneously, the guaranteed cost of system is also presented. Secondly, the further results are derived for the uncertain case from the criterion of unperturbed neutral large-scale interconnected systems. Finally, two examples are given to illustrate the controller design method and show the scheme advantages of dealing with the interconnections.