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A delay-partitioning projection approach to stability analysis of neutral systems

A delay-partitioning projection approach to stability analysis of neutral systems
A delay-partitioning projection approach to stability analysis of neutral systems
This paper introduces a new effective approach to study the stability of neutral systems. By employing a special Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for the nominal and the uncertain case (polytopic type) in terms of linear matrix inequalities (LMI). Numerical examples are employed to illustrate that the delay-partitioning projection approach can be applied to estimate the upper bounds for the delays for the system to maintain stability. Judging from these numerical results, the stability criteria obtained are less conservative than those of existing methods
978-3-902661-00-5
12348-12353
Du, Baozhu
aaaf0aa4-111f-4912-b78e-bf7a841d5728
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Chung, Myung Jin
c4bbfc4e-d9e2-4e3e-a05e-46e3fe223c8b
Misra, Pradeep
6bcb48a0-76ef-4f01-87fc-c984e2d614ee
Du, Baozhu
aaaf0aa4-111f-4912-b78e-bf7a841d5728
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Chung, Myung Jin
c4bbfc4e-d9e2-4e3e-a05e-46e3fe223c8b
Misra, Pradeep
6bcb48a0-76ef-4f01-87fc-c984e2d614ee

Du, Baozhu, Lam, James and Shu, Zhan (2008) A delay-partitioning projection approach to stability analysis of neutral systems. Chung, Myung Jin and Misra, Pradeep (eds.) 17th IFAC World Congress, Seoul, Korea, Republic of. 06 - 11 Jul 2008. pp. 12348-12353 . (doi:10.3182/20080706-5-KR-1001.02090).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper introduces a new effective approach to study the stability of neutral systems. By employing a special Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for the nominal and the uncertain case (polytopic type) in terms of linear matrix inequalities (LMI). Numerical examples are employed to illustrate that the delay-partitioning projection approach can be applied to estimate the upper bounds for the delays for the system to maintain stability. Judging from these numerical results, the stability criteria obtained are less conservative than those of existing methods

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More information

Published date: July 2008
Venue - Dates: 17th IFAC World Congress, Seoul, Korea, Republic of, 2008-07-06 - 2008-07-11
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199995
URI: http://eprints.soton.ac.uk/id/eprint/199995
ISBN: 978-3-902661-00-5
PURE UUID: b0a1dba3-5307-423b-9606-826d3b51179e
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 26 Oct 2011 10:55
Last modified: 14 Mar 2024 04:18

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Contributors

Author: Baozhu Du
Author: James Lam
Author: Zhan Shu ORCID iD
Editor: Myung Jin Chung
Editor: Pradeep Misra

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