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

Wanli Zhang, Chuandong Li, Tingwen Huang and Junjian Huang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 1531-1542

Abstract: 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.

Keywords: Fixed-time synchronization; Complex networks; Nonidentical nodes; Stochastic perturbations (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:1531-1542

DOI: 10.1016/j.physa.2017.11.079

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