Improved stability criteria for neural networks with time-varying delay

Jian Sun; G. P. Liu; Jie Chen; D. Rees

doi:10.1016/j.physleta.2008.11.048

Improved stability criteria for neural networks with time-varying delay

Jian Sun^*
, G. P. Liu
, Jie Chen
, D. Rees

^*Corresponding author for this work

School of Automation

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

67 Citations (Scopus)

Abstract

The problem of the stability analysis of neural networks with time-varying delay is considered in this Letter. By constructing a new augmented Lyapunov functional which contains a triple-integral term, an improved delay-dependent stability criterion is derived in terms of LMI using the free-weighting matrices method. The rate-range of the delay is also considered in the derivation of the criterion. Numerical examples are presented to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	342-348
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	3
DOIs	https://doi.org/10.1016/j.physleta.2008.11.048
Publication status	Published - 12 Jan 2009

Keywords

Delay-dependent stability
Linear matrix inequality (LMI)
Neural networks
Time-varying delay

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10.1016/j.physleta.2008.11.048

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abstract = "The problem of the stability analysis of neural networks with time-varying delay is considered in this Letter. By constructing a new augmented Lyapunov functional which contains a triple-integral term, an improved delay-dependent stability criterion is derived in terms of LMI using the free-weighting matrices method. The rate-range of the delay is also considered in the derivation of the criterion. Numerical examples are presented to illustrate the effectiveness of the proposed method.",

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AU - Rees, D.

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N2 - The problem of the stability analysis of neural networks with time-varying delay is considered in this Letter. By constructing a new augmented Lyapunov functional which contains a triple-integral term, an improved delay-dependent stability criterion is derived in terms of LMI using the free-weighting matrices method. The rate-range of the delay is also considered in the derivation of the criterion. Numerical examples are presented to illustrate the effectiveness of the proposed method.

AB - The problem of the stability analysis of neural networks with time-varying delay is considered in this Letter. By constructing a new augmented Lyapunov functional which contains a triple-integral term, an improved delay-dependent stability criterion is derived in terms of LMI using the free-weighting matrices method. The rate-range of the delay is also considered in the derivation of the criterion. Numerical examples are presented to illustrate the effectiveness of the proposed method.

KW - Delay-dependent stability

KW - Linear matrix inequality (LMI)

KW - Neural networks

KW - Time-varying delay

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U2 - 10.1016/j.physleta.2008.11.048

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M3 - Article

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -

Improved stability criteria for neural networks with time-varying delay

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Keywords

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