Delay and Its Time-Derivative Dependent Bounded Real Lemma for Linear Time-Delay Systems

• 作者: JIANGXiefu XUWenli
• 来源期刊: 电子学报(英文版)
• 学科: 工学
• 关键词: 时间导数 BRL 线性时间延迟 线性矩阵约束 有届实前提
• 年，卷（期）: 2004,（2）
• 页码范围: 289-292
• 页数: 4页
• 分类号: TP273
• 语种: 中文

摘要

Based on an appropriate Lyapunov-Krasovskii functional, this paper deals with the problem of the bounded real lemma for linear continuous-time systems with state delay. The system under consideration involves state time-varying time-delay. A sufficient condition for the system to possess a H∞-norm that is less than a prescribed level, is presented in a Linear matrix inequality(LMI) form which is dependent on both the size of timedelay and the size of its time-derivative. Due to that fewercross terms should be bounded, our result is less conservative. Finally, an example is presented to demonstrate the effectiveness of our result.