Asymptotic behavior of switched delay systems with nonlinear disturbances

Yazhou Tian, Yuanli Cai and Yuangong Sun

Applied Mathematics and Computation, 2015, vol. 268, issue C, 522-533

Abstract: 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.

Keywords: Asymptotic behavior; Switched delay systems; Nonlinear disturbances; Delay Gronwall–Bellman inequalities (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:522-533

DOI: 10.1016/j.amc.2015.06.073

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