Finite/Fixed-Time Pinning Synchronization of Complex Networks With Stochastic Disturbances

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Original languageEnglish
Pages (from-to)2398-2403
Journal / PublicationIEEE Transactions on Cybernetics
Issue number6
Online published9 Apr 2018
Publication statusPublished - Jun 2019


This brief proposes a unified theoretical framework to investigate the finite/fixed-time synchronization of complex networks with stochastic disturbances. By designing a common pinning controller with different ranges of power parameters, both the goals of finite-time and fixed-time synchronization in probability for the network topology containing spanning trees can be achieved. Moveover, with the help of finite-time stochastic stability theory, two types of explicit expressions of finite/fixed (dependent/independent on the initial values) settling times are calculated as well. One numerical example is finally presented to demonstrate the effectiveness of the theoretical analysis.

Research Area(s)

  • Complex networks, Convergence, Cybernetics, finite-time synchronization, fixed-time synchronization, pinning controllers, Stability analysis, Synchronization, Topology