A delay-partitioning approach to stability analysis of
continuous systems with multiple delay components
A delay-partitioning approach to stability analysis of
continuous systems with multiple delay components
An effective approach is introduced to study the stability of continuous systems with multiple timevarying delay components. By employing a new Lyapunov?Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods.
383-390
Du, Baozhu
aaaf0aa4-111f-4912-b78e-bf7a841d5728
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Wang, Zidong
7ddb1ae3-800f-490d-b389-3e97f919adee
April 2009
Du, Baozhu
aaaf0aa4-111f-4912-b78e-bf7a841d5728
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Wang, Zidong
7ddb1ae3-800f-490d-b389-3e97f919adee
Du, Baozhu, Lam, James, Shu, Zhan and Wang, Zidong
(2009)
A delay-partitioning approach to stability analysis of
continuous systems with multiple delay components.
IET Control Theory and Applications, 3 (4), .
(doi:10.1049/iet-cta.2007.0321).
Abstract
An effective approach is introduced to study the stability of continuous systems with multiple timevarying delay components. By employing a new Lyapunov?Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods.
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Published date: April 2009
Organisations:
Mechatronics
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Local EPrints ID: 199747
URI: http://eprints.soton.ac.uk/id/eprint/199747
ISSN: 1751-8644
PURE UUID: 1ae10d66-5f25-4aea-ab00-64bb386b1748
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Date deposited: 20 Oct 2011 08:57
Last modified: 14 Mar 2024 04:17
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Author:
Baozhu Du
Author:
James Lam
Author:
Zhan Shu
Author:
Zidong Wang
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