Robust stabilization of uncertain large-scale interconnected systems with discrete and distributed time-delays

The decentralized stabilization problem for a class of uncertain large-scale interconnected systems with discrete and distributed time-delays is investigated. Based on Lyapunov stability theory, a novel Lyapunov-Krasovskii functional is constructed to reduce conservatism of the criterion in form of LMIs. To this end, some mathematical techniques are utilized flexibly. Especially, the exchange of the order of repeated integral is required. The decentralized control scheme is the general state feedback. Finally, a numerical example is given to demonstrate the validity of the results.