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Improved exponential estimates for neutral systems

Improved exponential estimates for neutral systems
Improved exponential estimates for neutral systems
Improved exponential estimates and a new sufficient condition for the exponential stability of neutral type time-delay systems are established in terms of linear matrix inequalities (LMIs). A new Lyapunov-Krasovskii functional candidate with appropriately constructed exponential terms is introduced to prove the exponential stability and to reduce the conservatism. For the uncertain case, a corresponding condition for the robust exponential stability is also given. It is shown by numerical examples that the proposed conditions are less conservative than existing results
exponential estimates, linear matrix inequalities, neutral time-delay systems, uncertain systems
1561-8625
261-270
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351

Shu, Zhan, Lam, James and Xu, Shengyuan (2009) Improved exponential estimates for neutral systems. Asian Journal of Control, 11 (3), 261-270. (doi:10.1002/asjc.102).

Record type: Article

Abstract

Improved exponential estimates and a new sufficient condition for the exponential stability of neutral type time-delay systems are established in terms of linear matrix inequalities (LMIs). A new Lyapunov-Krasovskii functional candidate with appropriately constructed exponential terms is introduced to prove the exponential stability and to reduce the conservatism. For the uncertain case, a corresponding condition for the robust exponential stability is also given. It is shown by numerical examples that the proposed conditions are less conservative than existing results

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e-pub ahead of print date: May 2009
Published date: May 2009
Keywords: exponential estimates, linear matrix inequalities, neutral time-delay systems, uncertain systems
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199741
URI: http://eprints.soton.ac.uk/id/eprint/199741
ISSN: 1561-8625
PURE UUID: 45ee1e99-2d17-4987-8b11-0d0a201e9f46
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

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Date deposited: 20 Oct 2011 09:08
Last modified: 14 Mar 2024 04:16

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Contributors

Author: Zhan Shu ORCID iD
Author: James Lam
Author: Shengyuan Xu

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