Decentralized non-fragile guaranteed cost control and optimization for neutral interconnected systems

This paper investigates the design of decentralized non-fragile guaranteed cost control for a class of neutral interconnected systems with time-varying delays. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed. Based on this scheme, using the techniques of decomposing and magnifying matrices, a guaranteed cost control with gain perturbations is obtained and an efficient optimization approach is proposed to minimize the guaranteed cost for neutral interconnected systems. The state feedback control is extended to the case in which the underlying system is dependent on uncertain parameters. Two examples are given to illustrate the control design and show the advantages of the schemes of dealing with the interconnections.