New delay-dependent stability criteria for neural networks with time-varying interval delay

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

doi:10.1016/j.physleta.2010.08.070

New delay-dependent stability criteria for neural networks with time-varying interval delay

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

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology
University of South Wales
Harbin Institute of Technology

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

39 Citations (Scopus)

Abstract

The problem of stability analysis of neural networks with time-varying delay in a given range is investigated in this Letter. By introducing a new Lyapunov functional which uses the information on the lower bound of the delay sufficiently and an augmented Lyapunov functional which contains some triple-integral terms, some improved delay-dependent stability criteria are derived using the free-weighting matrices method. Numerical examples are presented to illustrate the less conservatism of the obtained results and the effectiveness of the proposed method.

Original language	English
Pages (from-to)	4397-4405
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	43
DOIs	https://doi.org/10.1016/j.physleta.2010.08.070
Publication status	Published - 27 Sept 2010

Keywords

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

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10.1016/j.physleta.2010.08.070

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abstract = "The problem of stability analysis of neural networks with time-varying delay in a given range is investigated in this Letter. By introducing a new Lyapunov functional which uses the information on the lower bound of the delay sufficiently and an augmented Lyapunov functional which contains some triple-integral terms, some improved delay-dependent stability criteria are derived using the free-weighting matrices method. Numerical examples are presented to illustrate the less conservatism of the obtained results and the effectiveness of the proposed method.",

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AU - Chen, Jie

AU - Sun, Jian

AU - Liu, G. P.

AU - Rees, D.

PY - 2010/9/27

Y1 - 2010/9/27

N2 - The problem of stability analysis of neural networks with time-varying delay in a given range is investigated in this Letter. By introducing a new Lyapunov functional which uses the information on the lower bound of the delay sufficiently and an augmented Lyapunov functional which contains some triple-integral terms, some improved delay-dependent stability criteria are derived using the free-weighting matrices method. Numerical examples are presented to illustrate the less conservatism of the obtained results and the effectiveness of the proposed method.

AB - The problem of stability analysis of neural networks with time-varying delay in a given range is investigated in this Letter. By introducing a new Lyapunov functional which uses the information on the lower bound of the delay sufficiently and an augmented Lyapunov functional which contains some triple-integral terms, some improved delay-dependent stability criteria are derived using the free-weighting matrices method. Numerical examples are presented to illustrate the less conservatism of the obtained results and 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.2010.08.070

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

IS - 43

ER -

New delay-dependent stability criteria for neural networks with time-varying interval delay

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Keywords

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