H∞ Norm Computation for Descriptor Symmetric Systems

This paper deals with the problem of H∞ norm computation for general symmetric systems and descriptor symmetric systems. The computation of H∞ norm for state-space symmetric systems is extended to descriptor symmetric systems. An explicit expression is given based on the bound real lemma (BRL), and...

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Main Authors: Zhang, G., Wang, S., Liu, Wan-quan, Zuo, Z.
Other Authors: Li Qiu
Format: Conference Paper
Published: Asian Control Association 2009
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/26394
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author Zhang, G.
Wang, S.
Liu, Wan-quan
Zuo, Z.
author2 Li Qiu
author_facet Li Qiu
Zhang, G.
Wang, S.
Liu, Wan-quan
Zuo, Z.
author_sort Zhang, G.
building Curtin Institutional Repository
collection Online Access
description This paper deals with the problem of H∞ norm computation for general symmetric systems and descriptor symmetric systems. The computation of H∞ norm for state-space symmetric systems is extended to descriptor symmetric systems. An explicit expression is given based on the bound real lemma (BRL), and the generalized bound real lemma (GBRL). The results have obvious computational advantages, especially for large scale descriptor symmetric systems. Additionally, two numerical examples are presented to demonstrate the feasibility and effectiveness of the results.
first_indexed 2025-11-14T08:01:15Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T08:01:15Z
publishDate 2009
publisher Asian Control Association
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-263942017-10-02T02:27:48Z H∞ Norm Computation for Descriptor Symmetric Systems Zhang, G. Wang, S. Liu, Wan-quan Zuo, Z. Li Qiu H1 Norm Computation the - Bound Real Lemma(BRL) Descriptor Symmetric Systems the Generalized Bound Real - Lemma(GBRL) This paper deals with the problem of H∞ norm computation for general symmetric systems and descriptor symmetric systems. The computation of H∞ norm for state-space symmetric systems is extended to descriptor symmetric systems. An explicit expression is given based on the bound real lemma (BRL), and the generalized bound real lemma (GBRL). The results have obvious computational advantages, especially for large scale descriptor symmetric systems. Additionally, two numerical examples are presented to demonstrate the feasibility and effectiveness of the results. 2009 Conference Paper http://hdl.handle.net/20.500.11937/26394 Asian Control Association fulltext
spellingShingle H1 Norm Computation
the - Bound Real Lemma(BRL)
Descriptor Symmetric Systems
the Generalized Bound Real - Lemma(GBRL)
Zhang, G.
Wang, S.
Liu, Wan-quan
Zuo, Z.
H∞ Norm Computation for Descriptor Symmetric Systems
title H∞ Norm Computation for Descriptor Symmetric Systems
title_full H∞ Norm Computation for Descriptor Symmetric Systems
title_fullStr H∞ Norm Computation for Descriptor Symmetric Systems
title_full_unstemmed H∞ Norm Computation for Descriptor Symmetric Systems
title_short H∞ Norm Computation for Descriptor Symmetric Systems
title_sort h∞ norm computation for descriptor symmetric systems
topic H1 Norm Computation
the - Bound Real Lemma(BRL)
Descriptor Symmetric Systems
the Generalized Bound Real - Lemma(GBRL)
url http://hdl.handle.net/20.500.11937/26394