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Comments on “Relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems”
(Ieee-inst Electrical Electronics Engineers inc, 2025) Sahan, Gokhan; Trenn, Stephan
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.
Citation - WoS: 1
Citation - Scopus: 4
Uniform Asymptotic Stability by Indefinite Lyapunov Functions
(IEEE, 2022) Sahan, Gokhan; Ozdemir, Derya
In this work, we consider Uniform Asymptotic Stability (UAS) of nonlinear time-varying systems. We utilize an indefinite signed polynomial of Lyapunov Function (LF) for the upper bound of the derivative of LF. This special bound is especially useful for perturbation problems. Compared to the ones in the literature we improve the upper bound of the LF and its related properties. Since UAS is the first step for input to state stability (ISS) and integral ISS, it should be thought that these improvements will give rise to new advances in real-world applications as well.

WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection