Comments on “Relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems”

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.

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Publication Details

Journal
IEEE Transactions on Automatic Control
Published
2025-04-08
DOI
https://doi.org/10.1109/tac.2025.3558940
Citations
1
Primary Topic
Stability and Control of Uncertain Systems
Type
article
Field-Weighted Citation Impact
1.21
Controls
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article

Comments on “Relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems”

Stephan Trenn, Gökhan Şahan
1 citations
IEEE Transactions on Automatic Control
Stability and Control of Uncertain Systems
1.21
article

Comments on “Relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems”

Stephan Trenn, Gökhan Şahan
article en
1 citations

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.

IEEE Transactions on Automatic ControlVol. 70(6)
Izmir Institute of Technology (TR), University of Groningen (NL)
Openalex Percentile: Top 23%
Stability and Control of Uncertain Systems
1.21
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