2025
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Sahan, Gökhan; Trenn, Stephan Comments on “Relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems” Journal Article In: IEEE Transactions on Automatic Control, 2025, (to appear). @article{SahaTren,
title = {Comments on “Relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems”},
author = {Gökhan Sahan and Stephan Trenn},
url = {https://stephantrenn.net/wp-content/uploads/2025/04/Preprint-ST250401.pdf, Preprint},
year = {2025},
date = {2025-04-01},
urldate = {2025-04-01},
journal = {IEEE Transactions on Automatic Control},
abstract = {This study addresses the deficiencies in the assumptions of the results in Chen and Yang, 2017 [1] due to the lack of uniformity. We first show the missing hypothesis by presenting a counterexample. Then we prove why they are wrong in that form and show the errors in the proof of the main result of [1]. Next, we compare the assumptions and related results of [1] with similar works in the literature. Lastly, we give suggestions to complement the shortcomings of the hypotheses and thus correct them.},
note = {to appear},
keywords = {ISS, stability, switched-systems},
pubstate = {published},
tppubtype = {article}
}
This study addresses the deficiencies in the assumptions of the results in Chen and Yang, 2017 [1] due to the lack of uniformity. We first show the missing hypothesis by presenting a counterexample. Then we prove why they are wrong in that form and show the errors in the proof of the main result of [1]. Next, we compare the assumptions and related results of [1] with similar works in the literature. Lastly, we give suggestions to complement the shortcomings of the hypotheses and thus correct them. |
