In this paper, consensus problems of a multi-agent directed network with nonlinear perturbations is considered. When the consensus of a directed network may be destroyed by the unknown perturbations, the impulsive control is introduced to ensure the consensus of all nodes. Then, based on a transformation of matrix theory, the original impulsive system is turned into a reduced-order impulsive system, and a sufficient criterion is obtained to guarantee the consensus of all agents. Finally, an example is provided to illustrate the effectiveness of the gained criterion.
机构:
SW Petr Univ, Coll Sci, Dept Math, Chengdu, Peoples R China
City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R ChinaSW Petr Univ, Coll Sci, Dept Math, Chengdu, Peoples R China
Xiong, Wenjun
Ho, Daniel W. C.
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City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R ChinaSW Petr Univ, Coll Sci, Dept Math, Chengdu, Peoples R China
Ho, Daniel W. C.
Cao, Jinde
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Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R ChinaSW Petr Univ, Coll Sci, Dept Math, Chengdu, Peoples R China
机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Qian, Yufeng
Wu, Xiaoqun
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Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Wu, Xiaoqun
Lu, Jinhu
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Chinese Acad Sci, Acad Math & Syst Sci, LSC, Inst Syst Sci, Beijing 100190, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Lu, Jinhu
Lu, Jun-An
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Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China