This paper aims to study the finite-time (FNT) and fixed-time (FXT) cluster synchronization problems of complex networks (CNs). First, to ensure scalability of CNs, the adaptive laws are proposed to update coupling weights between neighboring nodes in same cluster. In this case, only local information is required instead of global one. Then, by designing the appropriate controllers and employing Lyapunov stable theory, several sufficient conditions are obtained to fulfill cluster synchronization in FNT and FXT. When the number of clusters is single, the general FNT and FXT synchronization are also investigated under distributed adaptive strategies. Finally, the theoretical results are verified by a numerical simulation example.
机构:
Three Gorges Mathematical Research Center, China Three Gorges University, Yichang
College of Science, China Three Gorges University, YichangThree Gorges Mathematical Research Center, China Three Gorges University, Yichang
Hao C.
Wang B.
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Three Gorges Mathematical Research Center, China Three Gorges University, Yichang
College of Science, China Three Gorges University, YichangThree Gorges Mathematical Research Center, China Three Gorges University, Yichang
Wang B.
Tang D.
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Three Gorges Mathematical Research Center, China Three Gorges University, Yichang
College of Science, China Three Gorges University, YichangThree Gorges Mathematical Research Center, China Three Gorges University, Yichang
机构:
Jiangsu Normal Univ, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China
Jiangsu Normal Univ, Res Ctr Complex Networks & Swarm Intelligence, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China
Liu, Xiaoyang
Ho, Daniel W. C.
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机构:
City Univ Hong Kong, Dept Math, Hong Kong, Peoples R ChinaJiangsu Normal Univ, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China
Ho, Daniel W. C.
Song, Qiang
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机构:
Henan Univ Technol, Coll Elect Engn, Zhengzhou 450001, Henan, Peoples R China
Henan Univ Technol, Minist Educ, Key Lab Grain Informat Proc & Control, Zhengzhou 450001, Henan, Peoples R ChinaJiangsu Normal Univ, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China
Song, Qiang
Xu, Wenying
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机构:
Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China
机构:
Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Kong, Fanchao
Zhu, Quanxin
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机构:
Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Zhu, Quanxin
Sakthivel, Rathinasamy
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机构:
Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, IndiaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
机构:
Hunan Univ, Sch Math, Changsha 410082, Peoples R ChinaHunan Univ, Sch Math, Changsha 410082, Peoples R China
Guo, Zhenyuan
Xie, Hui
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机构:
Hunan Univ, Sch Math, Changsha 410082, Peoples R ChinaHunan Univ, Sch Math, Changsha 410082, Peoples R China
Xie, Hui
Wang, Jun
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机构:
City Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China
City Univ Hong Kong, Sch Data Sci, Hong Kong, Peoples R ChinaHunan Univ, Sch Math, Changsha 410082, Peoples R China
Wang, Jun
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,
2022,
52
(10):
: 6511
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6523