Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays

Junkang Tian; Dongsheng Xu; Jian Zu

doi:10.1016/j.cam.2008.09.002

Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays

Junkang Tian
, Dongsheng Xu
, Jian Zu

Southwest Petroleum University China

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

9 Scopus citations

Abstract

The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying delays is investigated. An improved linear matrix inequality based on delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov function is constructed to derive a novel delay-dependent stability criteria. Finally, numerical examples are given to indicate significant improvement over some existing results.

Original language	English
Pages (from-to)	133-138
Number of pages	6
Journal	Journal of Computational and Applied Mathematics
Volume	228
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2008.09.002
State	Published - 1 Jun 2009
Externally published	Yes

Keywords

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

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10.1016/j.cam.2008.09.002

Cite this

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title = "Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays",

abstract = "The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying delays is investigated. An improved linear matrix inequality based on delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov function is constructed to derive a novel delay-dependent stability criteria. Finally, numerical examples are given to indicate significant improvement over some existing results.",

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AU - Xu, Dongsheng

AU - Zu, Jian

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N2 - The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying delays is investigated. An improved linear matrix inequality based on delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov function is constructed to derive a novel delay-dependent stability criteria. Finally, numerical examples are given to indicate significant improvement over some existing results.

AB - The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying delays is investigated. An improved linear matrix inequality based on delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov function is constructed to derive a novel delay-dependent stability criteria. Finally, numerical examples are given to indicate significant improvement over some existing results.

KW - Delay-dependent

KW - Linear matrix inequality (LMI)

KW - Neural networks (NNs)

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/63349092338

U2 - 10.1016/j.cam.2008.09.002

DO - 10.1016/j.cam.2008.09.002

M3 - 文章

AN - SCOPUS:63349092338

SN - 0377-0427

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SP - 133

EP - 138

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays

Abstract

Keywords

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