Unstable equilibrium points stabilization of complex dynamical networks using output-feedback pinning control

2012 ◽  
Author(s):  
Lei Xiao ◽  
Guoping Jiang ◽  
Zhang Yue
Keyword(s):  
Output Feedback ◽  
Equilibrium Points ◽  
Pinning Control ◽  
Unstable Equilibrium ◽  
Complex Dynamical Networks ◽  
Dynamical Networks

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

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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