具有混合延时和不同时标的混沌忆阻竞争神经网络的自适应同步

O429; 本文考虑了具有混合时变延时和不同时标的混沌忆阻竞争神经网络的自适应同步问题.使用Lyapunov泛函方法和不等式分析技术,设计了一类新的具有反馈控制律的自适应控制器以取得网络同步及指数同步目的,提出了不用过多计算,如求解线性矩阵不等式或复杂代数计算的保证网络同步条件;同时,所获条件也可以应用到已有文献里关于忆阻器网络不同数学模型中.最后,通过实例验证了本文获得的理论结果的有效和正确性....

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Published in	南京信息工程大学学报 Vol. 9; no. 5; pp. 472 - 479
Main Authors	王有刚, 武怀勤
Format	Journal Article
Language	Chinese
Published	燕山大学理学院,秦皇岛,066004%燕山大学理学院,秦皇岛,066004 2017 吕梁学院数学系,吕梁,033001
Subjects	competitive neural networks 时间延时 memristor 自适应同步忆阻器 time delay adaptive synchronization time scale 竞争神经网络时标
Online Access	Get full text
ISSN	1674-7070
DOI	10.13878/j.cnki.jnuist.2017.05.003

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Abstract	O429; 本文考虑了具有混合时变延时和不同时标的混沌忆阻竞争神经网络的自适应同步问题.使用Lyapunov泛函方法和不等式分析技术,设计了一类新的具有反馈控制律的自适应控制器以取得网络同步及指数同步目的,提出了不用过多计算,如求解线性矩阵不等式或复杂代数计算的保证网络同步条件;同时,所获条件也可以应用到已有文献里关于忆阻器网络不同数学模型中.最后,通过实例验证了本文获得的理论结果的有效和正确性.
AbstractList	O429; 本文考虑了具有混合时变延时和不同时标的混沌忆阻竞争神经网络的自适应同步问题.使用Lyapunov泛函方法和不等式分析技术,设计了一类新的具有反馈控制律的自适应控制器以取得网络同步及指数同步目的,提出了不用过多计算,如求解线性矩阵不等式或复杂代数计算的保证网络同步条件;同时,所获条件也可以应用到已有文献里关于忆阻器网络不同数学模型中.最后,通过实例验证了本文获得的理论结果的有效和正确性.
Abstract_FL	This paper is concerned with the issue of adaptive synchronization for a general class of chaotic memristive competitive neural networks (MCNNs) with mixed time-varying delays and different time scales.By applying Lyapunov functional method and inequality analysis technique,a kind of novel adaptive controllers with feedback control laws are designed to achieve synchronization and exponential synchronization.The synchronization conditions,without need of excessive calculation such as solving linear matrix inequality or computing algebraic conditions,are given,which can be applied in MCNNs with different mathematical models of memristor proposed in the existing literature.Finally,an example with numerical simulations is listed to prove the efficiency and accuracy of the theoretical results.
Author	武怀勤王有刚
AuthorAffiliation	吕梁学院数学系,吕梁,033001;燕山大学理学院,秦皇岛,066004%燕山大学理学院,秦皇岛,066004
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Author_FL	WU Huaiqin WANG Yougang
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Title	具有混合延时和不同时标的混沌忆阻竞争神经网络的自适应同步
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