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.
Authors
- Stephan Trenn (ORCID: https://orcid.org/0000-0002-0947-0282)
- Gökhan Şahan (ORCID: https://orcid.org/0000-0002-2371-6648)
Institutions
- Izmir Institute of Technology (TR)
- University of Groningen (NL)
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