Electronic Science and Technology ›› 2021, Vol. 34 ›› Issue (9): 12-16.doi: 10.16180/j.cnki.issn1007-7820.2021.09.003

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The Asymptotic Synchronization of Neutral Complex Networks with Adaptive Pinning Control

SHI Hui,TONG Dongbing   

  1. School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China
  • Received:2020-05-17 Online:2021-09-15 Published:2021-09-08
  • Supported by:
    National Natural Science Foundation of China(61673257);National Natural Science Foundation of China(11501367);General Program of China Postdoctoral Science Foundation(2019M661322)

Abstract:

For the asymptotic synchronization problem of neutral coupled complex networks with unknown control nodes, an adaptive pinning controller which is more suitable to engineering applications is designed, and the design basis of the adaptive update law is provided in the present study. According to the generalized Itö formula, linear matrix inequality and Lyapunov stability theory, the sufficient conditions for asymptotic synchronization of neutral coupled complex networks are given. Through a numerical simulation, the minimum number of pinned nodes required for synchronization is calculated, which further verifies the validity of the obtained results.

Key words: neutral complex networks, the pinning control, the adaptive control, Lyapunov stability theory, asymptotic synchronization, Itö formula, linear matrix inequalities, update law

CLC Number: 

  • TP13