Pinning control of directed dynamical networks based on ControlRank

2008 ◽  
Vol 85 (8) ◽  
pp. 1279-1286 ◽  
Author(s):  
You You Lu ◽  
Xiao Fan Wang
Keyword(s):  
Pinning Control ◽  
Dynamical Networks

scholarly journals Pinning synchronization of the drive and response dynamical networks with lag

2014 ◽  
Vol 24 (3) ◽  
pp. 257-270 ◽  
Author(s):  
Bohui Wen ◽  
Mo Zhao ◽  
Fanyu Meng
Keyword(s):  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Lyapunov Stability Theory ◽  
Schur Complement ◽  
Pinning Control ◽  
Lag Synchronization ◽  
Dynamical Networks ◽  
General Complex ◽  
Minimum Number

Abstract This paper investigates the pinning synchronization of two general complex dynamical networks with lag. The coupling configuration matrices in the two networks are not need to be symmetric or irreducible. Several convenient and useful criteria for lag synchronization are obtained based on the lemma of Schur complement and the Lyapunov stability theory. Especially, the minimum number of controllers in pinning control can be easily obtained. At last, numerical simulations are provided to verify the effectiveness of the criteria

Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks

2013 ◽  
Vol 43 (1) ◽  
pp. 394-399 ◽  
Author(s):  
Housheng Su ◽  
Zhihai Rong ◽  
Michael Z. Q. Chen ◽  
Xiaofan Wang ◽  
Guanrong Chen ◽  
...  
Keyword(s):  
Pinning Control ◽  
Complex Dynamical Networks ◽  
Cluster Synchronization ◽  
Dynamical Networks

scholarly journals Pinning Synchronization of Nonlinearly Coupled Complex Dynamical Networks on Time Scales

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Fang-Di Kong
Keyword(s):  
Time Scales ◽  
Discrete Time ◽  
Control Strategy ◽  
Continuous Time ◽  
General Framework ◽  
Pinning Control ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Numerical Examples ◽  
Synchronization Problem

In this paper, we study the synchronization problem for nonlinearly coupled complex dynamical networks on time scales. To achieve synchronization for nonlinearly coupled complex dynamical networks on time scales, a pinning control strategy is designed. Some pinning synchronization criteria are established for nonlinearly coupled complex dynamical networks on time scales, which guarantee the whole network can be pinned to some desired state. The model investigated in this paper generalizes the continuous-time and discrete-time nonlinearly coupled complex dynamical networks to a unique and general framework. Moreover, two numerical examples are given for illustration and verification of the obtained results.

Synchronization of fractional-order complex dynamical networks via periodically intermittent pinning control

2017 ◽  
Vol 103 ◽  
pp. 357-363 ◽  
Author(s):  
Hong-Li Li ◽  
Cheng Hu ◽  
Haijun Jiang ◽  
Zhidong Teng ◽  
Yao-Lin Jiang
Keyword(s):  
Fractional Order ◽  
Pinning Control ◽  
Complex Dynamical Networks ◽  
Order Complex ◽  
Dynamical Networks

scholarly journals Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Jianwen Feng ◽  
Ze Tang ◽  
Jingyi Wang ◽  
Yi Zhao
Keyword(s):  
Complex Networks ◽  
Lyapunov Stability Theory ◽  
Pinning Control ◽  
Feedback Controllers ◽  
Dynamical Networks ◽  
Synchronization Problem ◽  
Response Network ◽  
Control Schemes ◽  
Hybrid Synchronization ◽  
Theoretical Results

This paper addresses the hybrid synchronization problem in two nonlinearly coupled complex networks with asymmetrical coupling matrices under pinning control schemes. The hybrid synchronization of two complex networks is the outer antisynchronization between the driving network and the response network while the inner complete synchronization in the driving network and the response network. We will show that only a small number of pinning feedback controllers acting on some nodes are effective for synchronization control of the mentioned dynamical networks. Based on Lyapunov Stability Theory, some simple criteria for hybrid synchronization are derived for such dynamical networks by pinning control strategy. Numerical examples are provided to illustrate the effectiveness of our theoretical results.

Synchronization control of complex dynamical networks with piecewise constant arguments

2018 ◽  
Vol 41 (2) ◽  
pp. 540-551 ◽  
Author(s):  
Tianhu Yu ◽  
Menglong Su
Keyword(s):  
Impulsive Control ◽  
Lyapunov Stability Theory ◽  
Pinning Control ◽  
Complex Dynamical Networks ◽  
Control Law ◽  
Dynamical Networks ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Synchronization Problem ◽  
Theoretical Results

The pinning synchronization problem is investigated for complex dynamical networks with hybrid coupling via impulsive control. Based on the Lyapunov stability theory, some novel synchronization criteria are derived and an impulsive pinning control law is proposed. By introducing a differential inequality for systems with piecewise constant arguments, it is not necessary to establish any relationship between the norms of the error states with or without piecewise constant arguments. Typical numerical examples are utilized to illustrate the validity and improvements as regards conservativeness of the theoretical results.

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