On Impulsive Synchronization Control for Coupled Inertial Neural Networks with Pinning Control

  • Tianhu Yu
  • Huamin Wang
  • Jinde CaoEmail author
  • Yang Yang


The impulsive control for the synchronization problem of coupled inertial neural networks involved distributed-delay coupling is investigated in the present paper. A novel impulsive pinning control method is introduced to obtain the complete synchronization of the coupled inertial neural networks with three different coupling structures. At each impulsive control instant, the pinning-controlled nodes can be selected according to our selection strategy which is dependent on the lower bound of the pinning control ratio. Our criteria can be utilized to declare the synchronization of the coupled neural networks with asymmetric and reducible coupling structures. The effectiveness of our control strategy is exhibited by typical numerical examples.


Coupled inertial neural networks Synchronization Impulsive control Pinning control Hybrid couplings 



Tianhu Yu was supported by National Natural Science Foundation of China (No. 11902137) and China Postdoctoral Science Foundation (No. 2019M651633); Huamin Wang was supported by National Nature Science Foundation of China(Grant Nos. 61503175, U1804158) and Science and Technology Department Program of Henan Province (Grant No. 172102210407); Jinde Cao was supported by Key Project of Natural Science Foundation of China (No. 61833005); Yang Yang is supported by National Natural Science Foundation of China (No. 11702228).


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Authors and Affiliations

  1. 1.School of MathematicsSoutheast UniversityNanjingPeople’s Republic of China
  2. 2.Department of MathematicsLuoyang Normal UniversityLuoyangPeople’s Republic of China
  3. 3.School of Mechanical EngineeringSouthwest Jiaotong UniversityChengduPeople’s Republic of China

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