Finite-time Synchronization Control Relationship Analysis of Two Classes of Markovian Switched Complex Networks

  • Xin Wang
  • Bin YangEmail author
  • Kun Gao
  • Jian-an Fang
Regular Papers Control Theory and Applications


In this paper, finite-time global synchronization control problem for a class of nonlinear coupling Markovian switched complex networks (NCMSCNs) is investigated. Furthermore, according to differentiability of nonlinear coupling function g(x,y), g(x,y) how to affect synchronization dynamics of the class of NCMSCNs is analyzed by two viewpoints. The first is that if g(x,y) satisfies the Lipschitz condition and is derivable, the above question is discussed by taking g(x,y) = L1x+L2y, g(x,y) =–L1x+L2y, g(x,y) = L1xL2y and g(x,y) =–L1xL2y, where L1 > 0, L2 > 0. The second is that if nonlinear coupling function g(x,y) only satisfies the Lipschitz condition, by analyzing the differences of synchronization control rules for the class of NCMSCNs and a class of linear coupling Markovian switched complex networks (LCMSCNs), the problem is explored. Comparing the previous works [12,21,22,26,33,34], the main improvement of this paper is that the works of this paper extend the existed analyzing ideas of the finite-time global synchronization for nonlinear coupling complex networks, including NCMSCNs.


Control rules finite-time synchronization linear coupling nonlinear coupling synchronization control 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Business Technology InstituteNingbo, ZhejiangChina
  2. 2.School of Mathematics ScienceHuaiyin Normal UniversityHuaian, JiangsuChina
  3. 3.Big data instituteZhejiang Business Technology InstituteNingbo, ZhejiangChina
  4. 4.College of Information Science and TechnologyDonghua UniversityShanghaiChina

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