A State-Space Revisit to Redheffer’s Theorem

摘要：

The celebrated Redheffers theorem on linear fractional transformations is rederived in this paper using an algebraic state-space approach based on a generalization of the ARE bounded real lemma recently obtained. This statespace derivation is easier to check and more constructive than the original one and is able to reveal interesting connections between the theorem and some system theory concepts such as dissipativity and storage functions. Moreover a flaw in the original proof is discovered and is corrected here.

关键词： Redheffers theorem Bounded real lemma Algebraic Riccati equation State-Space approach

作者: Yiping Cheng Ze Liu

作者单位: School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 35-38

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）