Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay

2014 ◽  
Vol 76 (2) ◽  
pp. 1603-1610 ◽  
Author(s):  
Baocheng Li
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Complex Dynamical Networks ◽  
Time Varying ◽  
Dynamical Networks ◽  
Time Varying Delay ◽  
Hybrid Coupling ◽  
Varying Delay

scholarly journals Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-14
Author(s):  
Baolin Qiu ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Yixian Yang
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Time Varying ◽  
Feedback Controllers ◽  
Dynamical Networks ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

This paper concerns the problem of fixed/finite-time synchronization of hybrid coupled dynamical networks. The considered dynamical networks with multilinks contain only one transmittal time-varying delay for each subnetwork, which makes us get hold of more interesting and practical points. Two kinds of delay-dependent feedback controllers with multilinks as well as appropriate Lyapunov functions are defined to achieve the goal of fixed-time synchronization and finite-time synchronization for the networks. Some novel and effective criteria of hybrid coupled networks are derived based on fixed-time and finite-time stability analysis. Finally, two numerical simulation examples are given to show the effectiveness of the results proposed in our paper.

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.

Sign in / Sign up

Export Citation Format

Share Document