Impulsive effects on stability of high-order BAM neural networks with time delays

Chaojie Li; Chuandong Li; Xiaofeng Liao; Tingwen Huang

doi:10.1016/j.neucom.2010.12.028

Impulsive effects on stability of high-order BAM neural networks with time delays

Chaojie Li
, Chuandong Li
, Xiaofeng Liao
, Tingwen Huang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

99 Citations (Scopus)

Abstract

The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given. © 2011 Elsevier B.V.

Original language	English
Pages (from-to)	1541-1550
Journal	Neurocomputing
Volume	74
Issue number	10
DOIs	https://doi.org/10.1016/j.neucom.2010.12.028
Publication status	Published - May 2011
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

The authors are grateful to the associate editor and reviewers for their constructive comments based on which the presentation of the paper has been greatly improved. The work described in this paper was partially supported by the National Natural Science Foundation of China (Grant no. 60974020 , 61003247 ), Natural Science Foundation of Chongqing (Grant no. 2010BB2210 ) and the Fundamental Research Funds for the Central Universities of China (Project no. CDJZR10 18 55 01, CDJXS10 18 00 16).

Research Keywords

High-order BAM neural networks
Impulse
Stability
Time delay

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10.1016/j.neucom.2010.12.028

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title = "Impulsive effects on stability of high-order BAM neural networks with time delays",

abstract = "The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given. {\textcopyright} 2011 Elsevier B.V.",

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AU - Li, Chaojie

AU - Li, Chuandong

AU - Liao, Xiaofeng

AU - Huang, Tingwen

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2011/5

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N2 - The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given. © 2011 Elsevier B.V.

AB - The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given. © 2011 Elsevier B.V.

KW - High-order BAM neural networks

KW - Impulse

KW - Stability

KW - Time delay

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U2 - 10.1016/j.neucom.2010.12.028

DO - 10.1016/j.neucom.2010.12.028

M3 - RGC 21 - Publication in refereed journal

SN - 0925-2312

VL - 74

SP - 1541

EP - 1550

JO - Neurocomputing

JF - Neurocomputing

IS - 10

ER -

Impulsive effects on stability of high-order BAM neural networks with time delays

Abstract

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Research Keywords

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