Abstract
The problem of decentralized stabilization of a class of large-scale dynamical systems with time-varying delays in interconnections is considered. By making use of the Razumikhin-type theorem, we propose a class of decentralized state feedback controllers which can always guarantee uniform asymptotic stability of large-scale time-delay interconnected dynamical systems. In this paper, we only assume that the time-varying delays are any nonnegative continuous bounded functions. Furthermore, since the proposed decentralized state feedback controllers are independent of the delays, the results obtained in this paper are applicable to the systems without exact knowledge of the delays, i. e. the systems with perturbed delays. A numerical example is also given to demonstrate the validity of the results.
