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

^*Corresponding author for this work

School of Automation

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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	114-118
Number of pages	5
Journal	Binggong Xuebao/Acta Armamentarii
Volume	30
Issue number	1
Publication status	Published - Jan 2009

Keywords

Control theory
Neural networks
Robust stability
Time-delays
Uncertain systems

Cite this

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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.",

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AU - Qiu, Ji Qing

AU - Yang, Hong Jiu

AU - Kan, Jun

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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

M3 - Article

AN - SCOPUS:61949220467

SN - 1000-1093

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JO - Binggong Xuebao/Acta Armamentarii

JF - Binggong Xuebao/Acta Armamentarii

IS - 1

ER -

LMI-based robust stability analysis for uncertain delayed neural networks

Abstract

Keywords

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