Robust stabilization of large-scale systems with nonlinear uncertainties via decentralized state feedback

The present paper is concerned with the decentralized stabilization problem for a class of large-scale systems with time-varying interconnected matrices and nonlinear uncertainties. A new sufficient condition is proposed for asymptotically stabilizing the large-scale perturbed systems with a prescribed stability degree by using decentralized state-feedback controllers. All the information needed here is only the possible bounds of the time-varying interconnected matrices and nonlinear uncertainties. This condition is shown to be less conservative than the ones reported recently. The results can be extended to a class of large-scale systems with delays. Two illustrative examples are included to demonstrate the superiority of the obtained results.