Asymptotic behavior of switched delay systems with nonlinear disturbances

The objective of this paper is to study the asymptotic behavior of switched delay systems with nonlinear disturbances. By establishing a new delay Gronwall–Bellman integral inequality and an elementary inequality, we obtain some asymptotic results for the systems under arbitrary switching laws, which extend some existing results in the literature to the more general nonlinear case. Finally, two examples are provided to illustrate the effectiveness of our results.