scholarly journals Robust synchronization in finite time for fractional-order hybrid coupling discontinuous complex dynamic networks with nonlinear growth

2020 ◽  
Vol 59 (5) ◽  
pp. 3369-3379
Author(s):  
You Jia ◽  
Huaiqin Wu ◽  
Jinde Cao
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Dynamic Networks ◽  
Complex Dynamic ◽  
Nonlinear Growth ◽  
Hybrid Coupling ◽  
Robust Synchronization

scholarly journals Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Yiping Luo ◽  
Yuejie Yao
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Dynamic Networks ◽  
Nonlinear Function ◽  
Time Instant ◽  
Control Input ◽  
Parameter Uncertainties ◽  
Complex Dynamic ◽  
Network Nodes ◽  
Analysis Techniques

The finite-time synchronization control is studied in this paper for a class of nonlinear uncertain complex dynamic networks. The uncertainties in the network are unknown but bounded and satisfy some matching conditions. The coupling relationship between network nodes is described by a nonlinear function satisfying the Lipchitz condition. By introducing a simple Lyapunov function, two main results regarding finite-time synchronization of a class of complex dynamic networks with parameter uncertainties are derived. By employing some analysis techniques like matrix inequalities, suitable controllers can be designed based on the obtained synchronization criteria. Moreover, with the obtained control input, the time instant required for the system to achieve finite-time synchronization can be estimated if a set of LMIs are feasible or an assumption on the eigenvalues of some matrices can be satisfied. Finally, the effectiveness of the proposed results is verified by numerical simulation.

An indirect Lyapunov approach to the observer-based robust control for fractional-order complex dynamic networks

2014 ◽  
Vol 136 ◽  
pp. 235-242 ◽  
Author(s):  
Yong-Hong Lan ◽  
Hai-Bo Gu ◽  
Cai-Xue Chen ◽  
Yan Zhou ◽  
Yi-Ping Luo
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Dynamic Networks ◽  
Order Complex ◽  
Complex Dynamic ◽  
Lyapunov Approach
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