Synchronization Analysis for Quaternion-Valued Delayed Neural Networks with Impulse and Inertia via a Direct Technique
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作者:
Yu, Juan
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Yu, Juan
[1
,2
]
Xiong, Kailong
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Xiong, Kailong
[1
]
Hu, Cheng
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Hu, Cheng
[1
,2
]
机构:
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R China
The asymptotic synchronization of quaternion-valued delayed neural networks with impulses and inertia is studied in this article. Firstly, a convergence result on piecewise differentiable functions is developed, which is a generalization of the Barbalat lemma and provides a powerful tool for the convergence analysis of discontinuous systems. To achieve synchronization, a constant gain-based control scheme and an adaptive gain-based control strategy are directly proposed for response quaternion-valued models. In the convergence analysis, a direct analysis method is developed to discuss the synchronization without using the separation technique or reduced-order transformation. In particular, some Lyapunov functionals, composed of the state variables and their derivatives, are directly constructed and some synchronization criteria represented by matrix inequalities are obtained based on quaternion theory. Some numerical results are shown to further confirm the theoretical analysis.
机构:
Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
Chongqing Jiaotong Univ, State Key Lab Mt Bridge & Tunnel Engn, Chongqing 400074, Peoples R ChinaChongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
Song, Qiankun
Long, Luyu
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Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R ChinaChongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
Long, Luyu
Zhao, Zhenjiang
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机构:
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R ChinaChongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
Zhao, Zhenjiang
Liu, Yurong
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机构:
Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R ChinaChongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
Liu, Yurong
Alsaadi, Fuad E.
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King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi ArabiaChongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
机构:
Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China
Li, Ruoxia
Cao, Jinde
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机构:
Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South KoreaShaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China
机构:
Xihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R China
Xihua Univ, Prov Engn Res Ctr New Energy Vehicle Intelligent C, Chengdu 610039, Peoples R ChinaXihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R China
Xu, Xiaohui
Yang, Jibin
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Xihua Univ, Prov Engn Res Ctr New Energy Vehicle Intelligent C, Chengdu 610039, Peoples R ChinaXihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R China
Yang, Jibin
Yang, Haolin
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Xihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R ChinaXihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R China
Yang, Haolin
Sun, Shulei
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Xihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R China
Minist Educ, Engn Res Ctr Adv Energy Saving Driving Technol, Chengdu 610031, Peoples R ChinaXihua Univ, Control & Safety Key Lab Sichuan Prov, Vehicle Measurement, Chengdu 610039, Peoples R China
机构:
Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China
Li, Ruoxia
Cao, Jinde
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机构:
Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South KoreaShaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China
机构:
Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Wu, Yanqiu
Tu, Zhengwen
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机构:
Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Tu, Zhengwen
Dai, Nina
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Chongqing Three Gorges Univ, Sch Elect & Informat Engn, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Dai, Nina
Wang, Liangwei
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Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Wang, Liangwei
Hu, Ning
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机构:
Chongqing Three Gorges Univ, Expt & Practice Ctr, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Hu, Ning
Peng, Tao
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Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
机构:
Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Tu, Zhengwen
Zhao, Yongxiang
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Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Zhao, Yongxiang
Ding, Nan
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Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Ding, Nan
Feng, Yuming
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Chongqing Three Gorges Univ, Chongqing Municipal Inst Higher Educ, Key Lab Intelligent Informat Proc & Control, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
Feng, Yuming
Zhang, Wei
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Chongqing Three Gorges Univ, Chongqing Municipal Inst Higher Educ, Key Lab Intelligent Informat Proc & Control, Wanzhou 404100, Peoples R ChinaChongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China