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

• 成果类型: Editorial Material
• 署名作者: Sahan, Gokhan; Trenn, Stephan
• 署名单位: Izmir Institute of Technology; Izmir Institute of Technology; University of Groningen
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3558940
• 发表日期: 2025
• 页码: 4233-4236
• 关键词: Asymptotic stability; Time-varying systems; Stability criteria; CONVERGENCE; Artificial intelligence; Upper bound; training; switches; Lyapunov methods; Data mining; Indefinite Lyapunov function; nonlinear time-varying (NTV) systems; uniform asymptotic stability (UAS); uniform attractivity

摘要

This study addresses the deficiencies in the assumptions of the results in (Chen and Yang, 2017) 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 (Chen and Yang, 2017). Next, we compare the assumptions and related results of (Chen and Yang, 2017) with similar works in the literature. Lastly, we give suggestions to complement the shortcomings of the hypotheses and thus correct them.