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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 ÆäËûÐÅÏ¢ 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 2015 5 Äê JCR® Àà±ð Àà±ðÖеÄÅÅÐò JCR ·ÖÇø MATHEMATICS 289/312 Q4 MATHEMATICS, APPLIED 246/254 Q4 Êý¾ÝÀ´×ÔµÚ 2015 °æ Journal Citation Reports® |
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