NDLI: Improvement of the ARE strict bounded real lemma

Content Provider	IEEE Xplore Digital Library
Author	Yiping Cheng
Copyright Year	2009
Description	Author affiliation: School of Electronic and Information Engineering, Beijing Jiaotong University, 100044, China (Yiping Cheng)
Abstract	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 semidefinite 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 fulfilment of the ARE condition. Similar improvements are also done to the positive real lemma and the L∞ version of the bounded/positive real lemma.
Starting Page	2819
Ending Page	2824
File Size	133323
Page Count	6
File Format	PDF
ISBN	9781424427222
DOI	10.1109/CCDC.2009.5194893
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Current control Bounded real lemma Stability Riccati equations Positive real lemma Eigenvalues and eigenfunctions Linear matrix inequalities Algebraic Riccati equations Research and development KYP lemma
Content Type	Text
Resource Type	Article

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