Decentralized adaptive control for a class of large-scale systems with multiple delays in the interconnections

In this paper, we consider the decentralized stabilization problem of a class of large-scale systems subject to uncertain parameters and multiple time-varying delays in the interconnections and non-linear inputs. The interconnection matrices are subject to perturbations whose bounds are unknown. Decentralized memoryless adaptive controllers are synthesized within an LMI framework to guarantee that the state trajectories of the large-scale system are uniformly exponentially convergent towards a ball with any prespecified exponential convergence rate. The problem is formulated as an optimization problem with LMI constraints. Finally, an example is included to illustrate the results developed in this paper. Copyright (C) 2004 John Wiley Sons, Ltd.