Decentralized stabilization of large scale systems with multiple delays in the interconnections

Abstract

In this paper, the problem of robust stabilization of a class of time-varying large scale systems subject to external disturbances, uncertain parameters and multiple time-varying delays in the interconnections and non-linear inputs is considered. Linear memory less controllers are developed to guarantee that all solutions of the class of systems considered are uniformly ultimately bounded. Also, non-linear memoryless controllers are synthesized to guarantee that the solutions are uniformly ultimately bounded with respect to a bound with any prespecified convergence rate towards it. Finally, an example is included to illustrate the results developed in this paper.