Finite-time cluster synchronization of complex networks with time-varying delays

2016 ◽  
Author(s):  
Xiwei Liu ◽  
Shaohua Li
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Cluster Synchronization ◽  
Time Varying

Adaptive finite-time control for overlapping cluster synchronization in coupled complex networks

2017 ◽  
Vol 266 ◽  
pp. 188-195 ◽  
Author(s):  
Shengqin Jiang ◽  
Xiaobo Lu ◽  
Chao Xie ◽  
Shuiming Cai
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Cluster Synchronization ◽  
Time Control

scholarly journals Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Xiaoyun Tang ◽  
Zhanying Yang ◽  
Jie Zhang
Keyword(s):  
Adaptive Control ◽  
Complex Networks ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Time Varying ◽  
Coupling Delay ◽  
Noise Perturbation ◽  
Control Scheme ◽  
Adaptive Control Strategy

This paper is concerned with two-layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time-varying coupling delay and different topological structures. An adaptive control scheme is proposed to investigate finite-time mixed interlayer synchronization (FMIS) of two-layer networks. Based on the Lyapunov stability theory, a criterion for realizing FMIS is derived. In addition, several sufficient conditions for realizing mixed interlayer synchronization are given. Finally, some numerical simulations are presented to verify the correctness and effectiveness of theoretical results. Meanwhile, the proposed adaptive control strategy is demonstrated to be nonfragile with the noise perturbation.

scholarly journals Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-25
Author(s):  
Ying Liu ◽  
Fei Chen ◽  
Bin Yang ◽  
Xin Wang ◽  
Weiming Wang
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Time Estimation ◽  
Markovian Switching ◽  
Convergence Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
The Impact ◽  
Varying Delay

In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.

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