Fixed-time synchronization of complex networks with nonidentical nodes and stochastic noise perturbations

abstract

• 2017 Elsevier B.V. This paper investigates the fixed-time synchronization of complex networks (CNs) with nonidentical nodes and stochastic noise perturbations. By designing new controllers, constructing Lyapunov functions and using the properties of Weiner process, different synchronization criteria are derived according to whether the node systems in the CNs or the goal system satisfies the corresponding conditions. Moreover, the role of the designed controllers is analyzed in great detail by constructing a suitable comparison system and a new method is presented to estimate the settling time by utilizing the comparison system. Results of this paper can be applied to both directed and undirected weighted networks. Numerical simulations are offered to verify the effectiveness of our new results.

authors

• Huang, Tingwen

published proceedings

• PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

author list (cited authors)

• Zhang, W., Li, C., Huang, T., & Huang, J.

citation count

• 54

complete list of authors

• Zhang, Wanli||Li, Chuandong||Huang, Tingwen||Huang, Junjian

publication date

• February 2018

publisher

• Elsevier  Publisher

published in

• Physica A: Statistical Mechanics and its Applications  Journal

keywords

• Complex Networks
• Fixed-time Synchronization
• Nonidentical Nodes
• Stochastic Perturbations

Digital Object Identifier (DOI)

• 10.1016/j.physa.2017.11.079

start page

• 1531

end page

• 1542

volume

• 492

URL

• http://dx.doi.org/10.1016/j.physa.2017.11.079