Absolute exponential stability criteria for a class of nonlinear time-delay systems
Absolute exponential stability criteria for a class of nonlinear time-delay systems
This paper is concerned with the problem of absolute exponential stability analysis for a class of continuous-time systems with sector-bounded nonlinearities and interval time-varying delays. Absolute exponential stability criteria, which depend not only on the delay range but also on the decay rate, are derived by using a novel Lyapunov functional. These criteria are expressed in the form of linear matrix inequalities (LMIs) and they can easily be checked. By solving these LMIs, estimates of the exponential decay rate and decay coefficient are obtained. A numerical example is provided to demonstrate the effectiveness of the proposed method
1963-1976
Zhang, Baoyong
9e2e93b4-ecd8-4354-a4f4-8c132adafc8b
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
June 2010
Zhang, Baoyong
9e2e93b4-ecd8-4354-a4f4-8c132adafc8b
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Zhang, Baoyong, Lam, James, Xu, Shengyuan and Shu, Zhan
(2010)
Absolute exponential stability criteria for a class of nonlinear time-delay systems.
Nonlinear Analysis: Real World Applications, 11 (3), .
(doi:10.1016/j.nonrwa.2009.04.018).
Abstract
This paper is concerned with the problem of absolute exponential stability analysis for a class of continuous-time systems with sector-bounded nonlinearities and interval time-varying delays. Absolute exponential stability criteria, which depend not only on the delay range but also on the decay rate, are derived by using a novel Lyapunov functional. These criteria are expressed in the form of linear matrix inequalities (LMIs) and they can easily be checked. By solving these LMIs, estimates of the exponential decay rate and decay coefficient are obtained. A numerical example is provided to demonstrate the effectiveness of the proposed method
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Published date: June 2010
Organisations:
Mechatronics
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Local EPrints ID: 199701
URI: http://eprints.soton.ac.uk/id/eprint/199701
ISSN: 1468-1218
PURE UUID: c8da8a26-206e-4fcb-9b04-e3dd029dcae3
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Date deposited: 19 Oct 2011 13:47
Last modified: 14 Mar 2024 04:17
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Author:
Baoyong Zhang
Author:
James Lam
Author:
Shengyuan Xu
Author:
Zhan Shu
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