会议专题

Improvement of the ARE Strict Bounded Real Lemma

The existing ARE version of the strict bounded real lemma, which establishes equivalence between a strict H∞ norm bound condition and the existence of a positive semide.nite stabilizing solution of an ARE, comes with an a priori stability hypothesis which makes its use cumbersome. This paper proposes an improved version of the lemma where the stability condition is not as a hypothesis but instead goes with the norm bound condition. The improved version offers nothing less than the existing one while providing additionally the fact that the stability is already ensured by the ful.lment of the ARE condition. Similar improvements are also done to the positive real lemma and the L∞ version of the bounded/positive real lemma.

Bounded real lemma Positive real lemma KYP lemma Algebraic Riccati equations

Yiping Cheng

School of Electronic and Information Engineering Beijing Jiaotong University, Beijing 100044, China

国际会议

2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

广西桂林

英文

2819-2824

2009-06-17(万方平台首次上网日期,不代表论文的发表时间)