Decentralized stabilization of large-scale linear continuous systems with N x N time-varying delays

In this paper, a decentralized stabilization condition for large-scale line ar continuous systems with N x N time-varying delays is established under a decomposition case of the interconnections. Based on a new stability theor ern for a general type of retarded dynamic systems, the results are derive d by using the Lyapunov function instead of the Lyapunov functional. During the derivation, a new technique for estimating the derivative of the Lyapu nov function for the solution of the system under consideration is used so that the case of N x N time-varying delays can be dealt with as least conse rvatively as possible. It is noted that the stabilization condition obtaine d by using the proposed technique is better than those obtained by using th e existing Razumikhin-type techniques in the literature. An example with th ree interconnected subsystems is given to illustrate the proposed method an d to show the design of the local memoryless state feedback controllers.