Adaptive robust control of a class of dynamic delay systems with unknown uncertainty bounds

In this paper, a robust adaptive controller is developed for a class of uncertain dynamic systems with time-varying delays and subject to uncertainties whose bounds are unknown but their functional properties are known. It is shown that if a constraint on the norm of the matrix associated with the delayed state is met, then the adaptive controller designed guarantees that all solutions of the class of systems considered converge to a ball with any prespecified exponential convergence rate towards it. Finally, an example is included to illustrate the results developed in this paper.