LMI-based robust stability analysis for uncertain delayed neural networks

Zhi Wei Lin; Ji Qing Qiu; Hong Jiu Yang; Jun Kan

LMI-based robust stability analysis for uncertain delayed neural networks

Zhi Wei Lin^*
, Ji Qing Qiu
, Hong Jiu Yang
, Jun Kan

^*此作品的通讯作者

自动化学院

Hebei University of Science and Technology
Beijing Institute of Technology
China Research and Development Academy of Machinery Equipment

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

The problem of robust stability for uncertain neural networks with time-varying delays was investigated. 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 stability criteria which are correlated with time delays and its derivatives were presented by using Lyapunov-Krasovskii function and linear matrix ineguality (LMI) approaches. A numerical example was given to illustrate the effectiveness and less conservative of the developed techniques.

源语言	英语
页（从-至）	114-118
页数	5
期刊	Binggong Xuebao/Acta Armamentarii
卷	30
期	1
出版状态	已出版 - 1月 2009

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title = "LMI-based robust stability analysis for uncertain delayed neural networks",

abstract = "The problem of robust stability for uncertain neural networks with time-varying delays was investigated. 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 stability criteria which are correlated with time delays and its derivatives were presented by using Lyapunov-Krasovskii function and linear matrix ineguality (LMI) approaches. A numerical example was given to illustrate the effectiveness and less conservative of the developed techniques.",

keywords = "Control theory, Neural networks, Robust stability, Time-delays, Uncertain systems",

author = "Lin, \{Zhi Wei\} and Qiu, \{Ji Qing\} and Yang, \{Hong Jiu\} and Jun Kan",

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N2 - The problem of robust stability for uncertain neural networks with time-varying delays was investigated. 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 stability criteria which are correlated with time delays and its derivatives were presented by using Lyapunov-Krasovskii function and linear matrix ineguality (LMI) approaches. A numerical example was given to illustrate the effectiveness and less conservative of the developed techniques.

AB - The problem of robust stability for uncertain neural networks with time-varying delays was investigated. 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 stability criteria which are correlated with time delays and its derivatives were presented by using Lyapunov-Krasovskii function and linear matrix ineguality (LMI) approaches. A numerical example was given to illustrate the effectiveness and less conservative of the developed techniques.

KW - Control theory

KW - Neural networks

KW - Robust stability

KW - Time-delays

KW - Uncertain systems

UR - https://www.scopus.com/pages/publications/61949220467

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ER -

LMI-based robust stability analysis for uncertain delayed neural networks

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