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Robust adaptive control for a class of nonlinear uncertain neutral delay systems

This paper focuses on the adaptive robust control for a class of nonlinear uncertain neutral delay systems. All uncertainties are assumed to be bounded by unknown constants, and an adaptive law constructed by making use of l-norm of matrix is proposed to estimate these unknown constants. An adaptive controller is designed such that the solutions of resulting closed-loop system are uniformly ultimately bounded, moreover the original system state is asymptotically stable. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.