General decay synchronization stability for a class of delayed chaotic neural networks with discontinuous activations
被引:39
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作者:
Wang, Leimin
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机构:
Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
Wang, Leimin
[1
,2
]
Shen, Yi
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机构:
Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
Shen, Yi
[1
,2
]
Zhang, Guodong
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机构:
South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R ChinaHuazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
Zhang, Guodong
[3
]
机构:
[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
[2] Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Peoples R China
[3] South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China
Delayed neural networks;
Discontinuous activations;
General decay synchronization;
Decay function;
TIME-VARYING DELAYS;
ROBUST SYNCHRONIZATION;
IMPULSIVE SYNCHRONIZATION;
GLOBAL CONVERGENCE;
FINITE-TIME;
SYSTEMS;
D O I:
10.1016/j.neucom.2015.11.077
中图分类号:
TP18 [人工智能理论];
学科分类号:
081104 ;
0812 ;
0835 ;
1405 ;
摘要:
This paper is concerned with the synchronization problem for a class of delayed chaotic neural networks with discontinuous activations. First a lemma which concerns stability in general decay rate is constructed. Based on this lemma, the general decay synchronization stability criteria of discontinuous neural networks are derived via a designed controller. The general decay synchronization is obtained by introducing a decay function and it contains exponential synchronization and polynomial synchronization as its two special cases. Finally, two examples are given to verify the effectiveness of the obtained results. (C) 2015 Elsevier B.V. All rights reserved.
机构:
China Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R China
China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R China
Yan, Meng
Jiang, Minghui
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机构:
China Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R China
China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R China
机构:
Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R ChinaAnhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
Duan, Lian
Wang, Qian
论文数: 0引用数: 0
h-index: 0
机构:
Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R ChinaAnhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
Wang, Qian
Wei, Hui
论文数: 0引用数: 0
h-index: 0
机构:
Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R ChinaAnhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
Wei, Hui
Wang, Zengyun
论文数: 0引用数: 0
h-index: 0
机构:
Hunan First Normal Univ, Sch Math & Computat Sci, Changsha 410205, Hunan, Peoples R China
Southeast Univ, Sch Math, Nanjing 211189, Jiangsu, Peoples R ChinaAnhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
机构:
China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443000, Hubei, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443000, Hubei, Peoples R China
Chen, Huihui
Jiang, Minghui
论文数: 0引用数: 0
h-index: 0
机构:
China Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443000, Hubei, Peoples R China
Jiang, Minghui
Hu, Junhao
论文数: 0引用数: 0
h-index: 0
机构:
South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Hubei, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443000, Hubei, Peoples R China
Hu, Junhao
Yang, Jin
论文数: 0引用数: 0
h-index: 0
机构:
China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443000, Hubei, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443000, Hubei, Peoples R China
机构:
Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R ChinaSichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
Wu, Enli
Yang, Xinsong
论文数: 0引用数: 0
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机构:
Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R ChinaSichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
Yang, Xinsong
Xu, Chen
论文数: 0引用数: 0
h-index: 0
机构:
Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R ChinaSichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
Xu, Chen
Alsaadi, Fuad E.
论文数: 0引用数: 0
h-index: 0
机构:
King Abdulaziz Univ, Fac Engn, Jeddah 21589, Saudi ArabiaSichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
Alsaadi, Fuad E.
Hayat, Tasawar
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机构:
King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia
Quaid I Azam Univ, Dept Math, Islamabad, PakistanSichuan Univ Sci & Engn, Dept Math, Zigong 643000, Peoples R China
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Duan, Lian
Huang, Lihong
论文数: 0引用数: 0
h-index: 0
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Hunan Womens Univ, Dept Informat Technol, Changsha 410004, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Huang, Lihong
Cai, Zuowei
论文数: 0引用数: 0
h-index: 0
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China