Non-fragile control of complex network composed of identical systems with delayed inputs - application of the descriptor approach

The non-fragile control of complex network with delayed controls is proposed. The control is designed using the linear matrix inequalities with application of the descriptor approach. The system is stabilized even in presence of perturbations of the control gain. Moreover, the time delay of the inputs can be varying, the derivative of the time delay is not bounded. This makes the proposed algorithm applicable to the networked control of large-scale systems. The results are illustrated by example.