Manipulative approaches of Lyapunov function for stochastic systems with time-delay

Minghao Li; Wuneng Zhou; Hongqian Lu

doi:10.1109/WCICA.2008.4592878

Manipulative approaches of Lyapunov function for stochastic systems with time-delay

Minghao Li
, Wuneng Zhou^*
, Hongqian Lu

^*Corresponding author for this work

Donghua University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

To reduce conservatism, we adopted two approaches, pre-computing and/or free-weighting matrices, to manipulate the Lyapunov functional candidates, where we incorporate the more terms, and used them to analyse the robust control problem for uncertain stochastic systems with time-delay successfully. Then, we gave numerical examples to demonstrate the effectiveness of the two approaches.

Original language	English
Title of host publication	Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08
Pages	6463-6468
Number of pages	6
DOIs	https://doi.org/10.1109/WCICA.2008.4592878
State	Published - 2008
Externally published	Yes
Event	7th World Congress on Intelligent Control and Automation, WCICA'08 - Chongqing, China Duration: 25 Jun 2008 → 27 Jun 2008

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Conference

Conference	7th World Congress on Intelligent Control and Automation, WCICA'08
Country/Territory	China
City	Chongqing
Period	25/06/08 → 27/06/08

Keywords

Linear matrix inequality (LMI)
Lyapunov functional
Stochastic systems
Time-delay systems
Uncertain systems

Access to Document

10.1109/WCICA.2008.4592878

Cite this

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title = "Manipulative approaches of Lyapunov function for stochastic systems with time-delay",

abstract = "To reduce conservatism, we adopted two approaches, pre-computing and/or free-weighting matrices, to manipulate the Lyapunov functional candidates, where we incorporate the more terms, and used them to analyse the robust control problem for uncertain stochastic systems with time-delay successfully. Then, we gave numerical examples to demonstrate the effectiveness of the two approaches.",

keywords = "Linear matrix inequality (LMI), Lyapunov functional, Stochastic systems, Time-delay systems, Uncertain systems",

author = "Minghao Li and Wuneng Zhou and Hongqian Lu",

year = "2008",

doi = "10.1109/WCICA.2008.4592878",

language = "英语",

isbn = "9781424421145",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

pages = "6463--6468",

booktitle = "Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08",

note = "7th World Congress on Intelligent Control and Automation, WCICA'08 ; Conference date: 25-06-2008 Through 27-06-2008",

}

Li, M, Zhou, W & Lu, H 2008, Manipulative approaches of Lyapunov function for stochastic systems with time-delay. in Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08., 4592878, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), pp. 6463-6468, 7th World Congress on Intelligent Control and Automation, WCICA'08, Chongqing, China, 25/06/08. https://doi.org/10.1109/WCICA.2008.4592878

Manipulative approaches of Lyapunov function for stochastic systems with time-delay. / Li, Minghao; Zhou, Wuneng; Lu, Hongqian.
Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08. 2008. p. 6463-6468 4592878 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Li, Minghao

AU - Zhou, Wuneng

AU - Lu, Hongqian

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AB - To reduce conservatism, we adopted two approaches, pre-computing and/or free-weighting matrices, to manipulate the Lyapunov functional candidates, where we incorporate the more terms, and used them to analyse the robust control problem for uncertain stochastic systems with time-delay successfully. Then, we gave numerical examples to demonstrate the effectiveness of the two approaches.

KW - Linear matrix inequality (LMI)

KW - Lyapunov functional

KW - Stochastic systems

KW - Time-delay systems

KW - Uncertain systems

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DO - 10.1109/WCICA.2008.4592878

M3 - 会议稿件

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T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

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BT - Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08

T2 - 7th World Congress on Intelligent Control and Automation, WCICA'08

Y2 - 25 June 2008 through 27 June 2008

ER -

Manipulative approaches of Lyapunov function for stochastic systems with time-delay

Abstract

Publication series

Conference

Keywords

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