Exponential synchronization of delayed neutral-type neural networks with Lévy noise under non-Lipschitz condition

Shuo Ma; Yanmei Kang

doi:10.1016/j.cnsns.2017.10.012

Exponential synchronization of delayed neutral-type neural networks with Lévy noise under non-Lipschitz condition

Shuo Ma
, Yanmei Kang

数学与统计学院

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

23 引用（Scopus）

摘要

In this paper, the exponential synchronization of stochastic neutral-type neural networks with time-varying delay and Lévy noise under non-Lipschitz condition is investigated for the first time. Using the general Itô’s formula and the nonnegative semi-martingale convergence theorem, we derive general sufficient conditions of two kinds of exponential synchronization for the drive system and the response system with adaptive control. Numerical examples are presented to verify the effectiveness of the proposed criteria.

源语言	英语
页（从-至）	372-387
页数	16
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	57
DOI	https://doi.org/10.1016/j.cnsns.2017.10.012
出版状态	已出版 - 4月 2018

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10.1016/j.cnsns.2017.10.012

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title = "Exponential synchronization of delayed neutral-type neural networks with L{\'e}vy noise under non-Lipschitz condition",

abstract = "In this paper, the exponential synchronization of stochastic neutral-type neural networks with time-varying delay and L{\'e}vy noise under non-Lipschitz condition is investigated for the first time. Using the general It{\^o}{\textquoteright}s formula and the nonnegative semi-martingale convergence theorem, we derive general sufficient conditions of two kinds of exponential synchronization for the drive system and the response system with adaptive control. Numerical examples are presented to verify the effectiveness of the proposed criteria.",

keywords = "Exponential synchronization, L{\'e}vy noise, Non-Lipschitz condition, Stochastic neutral-type neural networks",

author = "Shuo Ma and Yanmei Kang",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

month = apr,

doi = "10.1016/j.cnsns.2017.10.012",

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T1 - Exponential synchronization of delayed neutral-type neural networks with Lévy noise under non-Lipschitz condition

AU - Ma, Shuo

AU - Kang, Yanmei

PY - 2018/4

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N2 - In this paper, the exponential synchronization of stochastic neutral-type neural networks with time-varying delay and Lévy noise under non-Lipschitz condition is investigated for the first time. Using the general Itô’s formula and the nonnegative semi-martingale convergence theorem, we derive general sufficient conditions of two kinds of exponential synchronization for the drive system and the response system with adaptive control. Numerical examples are presented to verify the effectiveness of the proposed criteria.

AB - In this paper, the exponential synchronization of stochastic neutral-type neural networks with time-varying delay and Lévy noise under non-Lipschitz condition is investigated for the first time. Using the general Itô’s formula and the nonnegative semi-martingale convergence theorem, we derive general sufficient conditions of two kinds of exponential synchronization for the drive system and the response system with adaptive control. Numerical examples are presented to verify the effectiveness of the proposed criteria.

KW - Exponential synchronization

KW - Lévy noise

KW - Non-Lipschitz condition

KW - Stochastic neutral-type neural networks

UR - https://www.scopus.com/pages/publications/85032281873

U2 - 10.1016/j.cnsns.2017.10.012

DO - 10.1016/j.cnsns.2017.10.012

M3 - 文章

AN - SCOPUS:85032281873

SN - 1007-5704

VL - 57

SP - 372

EP - 387

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

Exponential synchronization of delayed neutral-type neural networks with Lévy noise under non-Lipschitz condition

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