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ÆÚ¿¯£º Advances in Difference Equations
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LMI-based robust exponential stability criterion of impulsive integro-differential equations with uncertain parameters via contraction mapping theory
×÷Õß:Rao, RF (Rao, Ruofeng)[ 1 ] ; Zhong, SM (Zhong, Shouming)[ 2 ] ; Pu, ZL (Pu, Zhilin)[ 3 ]


ADVANCES IN DIFFERENCE EQUATIONS


ÎÄÏ׺Å: 19

DOI: 10.1186/s13662-016-1059-0

³ö°æÄê: JAN 18 2017

²é¿´ÆÚ¿¯ÐÅÏ¢

ADVANCES IN DIFFERENCE EQUATIONS  

³ö°æÉÌ SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND

ISSN: 1687-1847

Ñо¿ÁìÓò Mathematics



ÕªÒª
By formulating a new contraction mapping on a product space, the authors originally employed Banach fixed point theorem to derive the LMI-based robust exponential stability criterion for impulsive BAM neural networks with distributed delays and uncertain parameters. Numerical example illuminates that the new criterion is not worse than the existing results derived by Lyapunov functional method. Hence both the methods and the results of this paper are really novel to a certain extent.

¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:contraction mapping theory; integro-differential equations; impulsive BAM neural networks; robust exponential stability; parameters uncertainty

KeyWords Plus:BAM NEURAL-NETWORKS; TIME-VARYING DELAYS; REACTION-DIFFUSION TERMS; DISTRIBUTED DELAYS; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; DISCRETE; EXISTENCE

×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Rao, RF (ͨѶ×÷Õß) Chengdu Normal Univ, Dept Math, Chengdu 61130, Peoples R China.
  ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ
    Chengdu Normal University  


µØÖ·:  [ 1 ] Chengdu Normal Univ, Dept Math, Chengdu 61130, Peoples R China
  ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ
    Chengdu Normal University  
[ 2 ] Chengdu Normal Univ, Res Inst Math, Chengdu 61130, Peoples R China
  ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ
    Chengdu Normal University  
[ 3 ] Chengdu Normal Univ, Res Inst Math Educ, Chengdu 61130, Peoples R China
  ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ
    Chengdu Normal University  


µç×ÓÓʼþµØÖ·:ruofengrao@163.com

»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ
National Basic Research Program of China  2010CB732501  
Scientific Research Fund of Science Technology Department of Sichuan Province  2010JY0057
2012JY010  
Sichuan Educational Committee Science Foundation  08ZB002
12ZB349
14ZA0274  
Initial Founding of Scientific Research for Chengdu Normal university introduction of talents   
²é¿´»ù½ð×ÊÖúÐÅÏ¢¹Ø±Õ»ù½ð×ÊÖúÐÅÏ¢   

All the authors thank the anonymous reviewers for their constructive suggestions and pertinent comments, which actually improve this paper. This work was supported by National Basic Research Program of China (2010CB732501), Scientific Research Fund of Science Technology Department of Sichuan Province (2010JY0057, 2012JY010), Sichuan Educational Committee Science Foundation (08ZB002, 12ZB349, 14ZA0274), and the Initial Founding of Scientific Research for Chengdu Normal university introduction of talents.

³ö°æÉÌ
SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND

Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics

Web of Science Àà±ð:Mathematics, Applied; Mathematics

ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000396993200001

ISSN: 1687-1847

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IDS ºÅ: EO9EY

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 38

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0

Ó°ÏìÒò×Ó 0.297  0.403  
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