Robust stabilization of large-scale interconnected systems including delayed perturbations

The problem of robust stabilization of large-scale interconnected systems including delayed perturbations are considered. On the basis of algebraic Riccati equations, a class of decentralized state feedback controllers are proposed, and some sufficient conditions on the decentralized state feedback controllers are derived so that the systems remain stable in the presence of delayed perturbations. The results obtained in this paper are applicable not only to the systems with multiple time-varying delays, but also to the systems without exact knowledge of the delays, i.e. the systems with uncertain delays. Our results give a bound on perturbations including uncertainties and time-delay