AI 中文总结
本评论针对文献[1]中事件触发镇定分析的核心引理1,指出其证明存在技术漏洞并给出修正论证,确认原始引理表述仍成立。
AI 中文摘要
本评论重新审视了文献[1]中引理1,该引理是文献中所发展的事件触发镇定分析的核心。我们发现该引理证明中存在技术漏洞并提供了修正后的论证。特别地,对指数衰减项的仔细处理表明,其衰减率必须保留在最终的收敛估计中。原始引理的表述,即指数衰减率由特征衰减率与该衰减项的衰减率的最小值确定,仍然成立。
英文摘要
This comment revisits Lemma 1 in [1], which plays a central role in the event-triggered stabilization analysis developed therein. We identify technical gaps in the proof of the lemma and provide a corrected argument. In particular, careful treatment of the exponentially decaying term shows that its decay rate must be retained in the resulting convergence estimate. The statement of the original lemma, with the exponential decay rate determined by the minimum of the characteristic decay rate and the decay rate of this term, remains valid.
CommentsComment on arXiv:2308.08105