Synchronization of singular complex networks with time-varying delay via pinning control and linear feedback control

2021 ◽  
Vol 145 ◽  
pp. 110805
Author(s):  
Lin Shi ◽  
Chunmei Zhang ◽  
Shouming Zhong
Keyword(s):  
Feedback Control ◽  
Complex Networks ◽  
Pinning Control ◽  
Linear Feedback ◽  
Time Varying ◽  
Linear Feedback Control ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Synchronization of Complex Networks with Time-Varying Delayed Dynamical Nodes via Pinning Control

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Shuguo Wang ◽  
Hongxing Yao ◽  
Qiuxiang Bian
Keyword(s):  
Numerical Simulation ◽  
Complex Networks ◽  
Pinning Control ◽  
Effective Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Control Scheme ◽  
Adaptive Coupling ◽  
Coupling Strengths ◽  
Varying Delay

This paper investigates the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delay and time-varying delay in dynamical nodes. Some simple and useful criteria are derived by constructing an effective control scheme and adjusting automatically the adaptive coupling strengths. To validate the proposed method, numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.

scholarly journals Synchronization and Pinning Control in Complex Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Hai-Feng Jiang ◽  
Tao Li
Keyword(s):  
Complex Networks ◽  
Control Strategies ◽  
Pinning Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Interval Time ◽  
Time Varying Delay ◽  
Nonlinear Matrix ◽  
Varying Delay

The problems on synchronization and pinning control for complex dynamical networks with interval time-varying delay are investigated and two less conservative criteria are established based on reciprocal convex technique. Pinning control strategies are designed to make the complex networks synchronized. Moreover, the problem of designing controllers can be converted into solving a series of NMIs (nonlinear matrix inequalities) and LMIs (linear matrix inequalities), which reduces the computation complexity when comparing with those present results. Finally, numerical simulations can verify the effectiveness of the derived methods.

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