Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters

Zhiwei Lin; Jun Kan

doi:10.1109/NSWCTC.2009.208

Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters

Zhiwei Lin^*, Jun Kan

^*Corresponding author for this work

School of Automation

Academy of Machinery Equipment

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

Abstract

This paper investigates the robust stability of uncertain neural networks with time-varying delays and Markoian Jump parameters. The norm-bounded uncertainties are included in the system matrices. The constraint on time-varying delays is removed, which means that a fast time-varying delay is admissible. Some new delay-dependent stability criterions are presented by using Lyapunov-Krasovskii function and linear matrix inequalities (LMIs) approach. Finally, a numerical example is given to illustrate the effectiveness and less conservativeness of the developed techniques.

Original language	English
Title of host publication	Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009
Pages	809-813
Number of pages	5
DOIs	https://doi.org/10.1109/NSWCTC.2009.208
Publication status	Published - 2009
Event	International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009 - Wuhan, Hubei, China Duration: 25 Apr 2009 → 26 Apr 2009

Publication series

Name	Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009
Volume	2

Conference

Conference	International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009
Country/Territory	China
City	Wuhan, Hubei
Period	25/04/09 → 26/04/09

Keywords

Jump parameters
Neural networks
Parameters uncertainties
Robust stability

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10.1109/NSWCTC.2009.208

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Lin, Z., & Kan, J. (2009). Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters. In Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009 (pp. 809-813). Article 4908592 (Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009; Vol. 2). https://doi.org/10.1109/NSWCTC.2009.208

Lin, Zhiwei ; Kan, Jun. / Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters. Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009. 2009. pp. 809-813 (Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009).

@inproceedings{aee4efcc66634cde8ac7d18bcdf0e219,

title = "Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters",

abstract = "This paper investigates the robust stability of uncertain neural networks with time-varying delays and Markoian Jump parameters. The norm-bounded uncertainties are included in the system matrices. The constraint on time-varying delays is removed, which means that a fast time-varying delay is admissible. Some new delay-dependent stability criterions are presented by using Lyapunov-Krasovskii function and linear matrix inequalities (LMIs) approach. Finally, a numerical example is given to illustrate the effectiveness and less conservativeness of the developed techniques.",

keywords = "Jump parameters, Neural networks, Parameters uncertainties, Robust stability",

author = "Zhiwei Lin and Jun Kan",

year = "2009",

doi = "10.1109/NSWCTC.2009.208",

language = "English",

isbn = "9780769536101",

series = "Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009",

pages = "809--813",

booktitle = "Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009",

note = "International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009 ; Conference date: 25-04-2009 Through 26-04-2009",

}

Lin, Z & Kan, J 2009, Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters. in Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009., 4908592, Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009, vol. 2, pp. 809-813, International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009, Wuhan, Hubei, China, 25/04/09. https://doi.org/10.1109/NSWCTC.2009.208

Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters. / Lin, Zhiwei; Kan, Jun.
Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009. 2009. p. 809-813 4908592 (Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009; Vol. 2).

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

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AB - This paper investigates the robust stability of uncertain neural networks with time-varying delays and Markoian Jump parameters. The norm-bounded uncertainties are included in the system matrices. The constraint on time-varying delays is removed, which means that a fast time-varying delay is admissible. Some new delay-dependent stability criterions are presented by using Lyapunov-Krasovskii function and linear matrix inequalities (LMIs) approach. Finally, a numerical example is given to illustrate the effectiveness and less conservativeness of the developed techniques.

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Lin Z, Kan J. Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters. In Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009. 2009. p. 809-813. 4908592. (Proceedings - International Conference on Networks Security, Wireless Communications and Trusted Computing, NSWCTC 2009). doi: 10.1109/NSWCTC.2009.208

Robust stability analysis for uncertain delayed neural networks with Markoian jump parameters

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Keywords

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